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55692040 = 23519127577
BaseRepresentation
bin1101010001110…
…0101100001000
310212210110010011
43110130230020
5103224121130
65305401304
71244242315
oct324345410
9125713104
1055692040
1129489288
1216799234
13b6cc191
147579d0c
154d5152a
hex351cb08

55692040 has 64 divisors (see below), whose sum is σ = 133171200. Its totient is φ = 20901888.

The previous prime is 55692031. The next prime is 55692041. The reversal of 55692040 is 4029655.

It is a junction number, because it is equal to n+sod(n) for n = 55691993 and 55692011.

It is not an unprimeable number, because it can be changed into a prime (55692041) 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 15 ways as a sum of consecutive naturals, for example, 96232 + ... + 96808.

It is an arithmetic number, because the mean of its divisors is an integer number (2080800).

Almost surely, 255692040 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 55692040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66585600).

55692040 is an abundant number, since it is smaller than the sum of its proper divisors (77479160).

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

55692040 is a wasteful number, since it uses less digits than its factorization.

55692040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 55692040 is about 7462.7099635454. The cubic root of 55692040 is about 381.8836300231.

The spelling of 55692040 in words is "fifty-five million, six hundred ninety-two thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 127 152 190 254 380 508 577 635 760 1016 1154 1270 2308 2413 2540 2885 4616 4826 5080 5770 9652 10963 11540 12065 19304 21926 23080 24130 43852 48260 54815 73279 87704 96520 109630 146558 219260 293116 366395 438520 586232 732790 1392301 1465580 2784602 2931160 5569204 6961505 11138408 13923010 27846020 55692040