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55335372 = 22319317829
BaseRepresentation
bin1101001100010…
…1100111001100
310212010022212020
43103011213030
5103131212442
65254010140
71241225421
oct323054714
9125108766
1055335372
1129265314
1216646950
13b605a31
1474c5d48
154cd09ec
hex34c59cc

55335372 has 48 divisors (see below), whose sum is σ = 140313600. Its totient is φ = 16908480.

The previous prime is 55335361. The next prime is 55335377. The reversal of 55335372 is 27353355.

55335372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55335377) 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 15 ways as a sum of consecutive naturals, for example, 3154 + ... + 10982.

It is an arithmetic number, because the mean of its divisors is an integer number (2923200).

Almost surely, 255335372 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 55335372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70156800).

55335372 is an abundant number, since it is smaller than the sum of its proper divisors (84978228).

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

55335372 is a wasteful number, since it uses less digits than its factorization.

55335372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886 (or 7884 counting only the distinct ones).

The product of its digits is 47250, while the sum is 33.

The square root of 55335372 is about 7438.7748991349. The cubic root of 55335372 is about 381.0666522503.

The spelling of 55335372 in words is "fifty-five million, three hundred thirty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1178 1767 2356 3534 7068 7829 15658 23487 31316 46974 93948 148751 242699 297502 446253 485398 595004 728097 892506 970796 1456194 1785012 2912388 4611281 9222562 13833843 18445124 27667686 55335372