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55154640 = 2435792909
BaseRepresentation
bin1101001001100…
…1011111010000
310211210010221110
43102121133100
5103104422030
65250053320
71236543462
oct322313720
9124703843
1055154640
1129151552
121657a240
13b5716a8
14747a132
154c971b0
hex34997d0

55154640 has 80 divisors (see below), whose sum is σ = 173203200. Its totient is φ = 14516736.

The previous prime is 55154633. The next prime is 55154651. The reversal of 55154640 is 4645155.

55154640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 55154598 and 55154607.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17506 + ... + 20414.

It is an arithmetic number, because the mean of its divisors is an integer number (2165040).

Almost surely, 255154640 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 55154640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86601600).

55154640 is an abundant number, since it is smaller than the sum of its proper divisors (118048560).

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

55154640 is a wasteful number, since it uses less digits than its factorization.

55154640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 55154640 is about 7426.6169956448. The cubic root of 55154640 is about 380.6513298726.

Adding to 55154640 its reverse (4645155), we get a palindrome (59799795).

The spelling of 55154640 in words is "fifty-five million, one hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 2909 3160 3792 4740 5818 6320 8727 9480 11636 14545 17454 18960 23272 29090 34908 43635 46544 58180 69816 87270 116360 139632 174540 229811 232720 349080 459622 689433 698160 919244 1149055 1378866 1838488 2298110 2757732 3447165 3676976 4596220 5515464 6894330 9192440 11030928 13788660 18384880 27577320 55154640