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55372240 = 24571189101
BaseRepresentation
bin1101001100111…
…0100111010000
310212012012102201
43103032213100
5103133402430
65254452544
71241441050
oct323164720
9125165381
1055372240
112928aa90
1216664154
13b619751
1474d5560
154cdb8ca
hex34ce9d0

55372240 has 160 divisors (see below), whose sum is σ = 163918080. Its totient is φ = 16896000.

The previous prime is 55372199. The next prime is 55372243. The reversal of 55372240 is 4227355.

55372240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 55372199 and 55372208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55372243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548190 + ... + 548290.

It is an arithmetic number, because the mean of its divisors is an integer number (1024488).

Almost surely, 255372240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55372240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81959040).

55372240 is an abundant number, since it is smaller than the sum of its proper divisors (108545840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55372240 is a wasteful number, since it uses less digits than its factorization.

55372240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 55372240 is about 7441.2525827309. The cubic root of 55372240 is about 381.1512638698.

Adding to 55372240 its reverse (4227355), we get a palindrome (59599595).

It can be divided in two parts, 5537 and 2240, that added together give a palindrome (7777).

The spelling of 55372240 in words is "fifty-five million, three hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 89 101 110 112 140 154 176 178 202 220 280 308 356 385 404 440 445 505 560 616 623 707 712 770 808 880 890 979 1010 1111 1232 1246 1414 1424 1540 1616 1780 1958 2020 2222 2492 2828 3080 3115 3535 3560 3916 4040 4444 4895 4984 5555 5656 6160 6230 6853 7070 7120 7777 7832 8080 8888 8989 9790 9968 11110 11312 12460 13706 14140 15554 15664 17776 17978 19580 22220 24920 27412 28280 31108 34265 35956 38885 39160 44440 44945 49840 54824 56560 62216 62923 68530 71912 77770 78320 88880 89890 98879 109648 124432 125846 137060 143824 155540 179780 197758 251692 274120 311080 314615 359560 395516 494395 503384 548240 622160 629230 692153 719120 791032 988790 1006768 1258460 1384306 1582064 1977580 2516920 2768612 3460765 3955160 5033840 5537224 6921530 7910320 11074448 13843060 27686120 55372240