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55353960 = 23325179859
BaseRepresentation
bin1101001100101…
…0001001101000
310212011021100200
43103022021220
5103132311320
65254232200
71241333544
oct323121150
9125137320
1055353960
1129278282
1216655660
13b61132c
1474cca24
154cd6290
hex34ca268

55353960 has 96 divisors (see below), whose sum is σ = 181116000. Its totient is φ = 14661504.

The previous prime is 55353917. The next prime is 55353967. The reversal of 55353960 is 6935355.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55353967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64011 + ... + 64869.

It is an arithmetic number, because the mean of its divisors is an integer number (1886625).

Almost surely, 255353960 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 55353960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90558000).

55353960 is an abundant number, since it is smaller than the sum of its proper divisors (125762040).

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

55353960 is a wasteful number, since it uses less digits than its factorization.

55353960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

The square root of 55353960 is about 7440.0241935091. The cubic root of 55353960 is about 381.1093161841.

The spelling of 55353960 in words is "fifty-five million, three hundred fifty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 179 180 358 360 537 716 859 895 1074 1432 1611 1718 1790 2148 2577 2685 3222 3436 3580 4295 4296 5154 5370 6444 6872 7160 7731 8055 8590 10308 10740 12885 12888 15462 16110 17180 20616 21480 25770 30924 32220 34360 38655 51540 61848 64440 77310 103080 153761 154620 307522 309240 461283 615044 768805 922566 1230088 1383849 1537610 1845132 2306415 2767698 3075220 3690264 4612830 5535396 6150440 6919245 9225660 11070792 13838490 18451320 27676980 55353960