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54941920 = 25511193153
BaseRepresentation
bin1101000110010…
…1100011100000
310211101100010221
43101211203200
5103031120140
65241332424
71234666345
oct321454340
9124340127
1054941920
1129016750
1216497114
13b4c8917
1474227cc
154c5414a
hex34658e0

54941920 has 192 divisors, whose sum is σ = 156764160. Its totient is φ = 17971200.

The previous prime is 54941899. The next prime is 54941947. The reversal of 54941920 is 2914945.

It is a super-2 number, since 2×549419202 = 6037229146572800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1036614 + ... + 1036666.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 254941920 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 54941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

54941920 is an abundant number, since it is smaller than the sum of its proper divisors (101822240).

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

54941920 is a wasteful number, since it uses less digits than its factorization.

54941920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 54941920 is about 7412.2816999896. The cubic root of 54941920 is about 380.1613350018.

The spelling of 54941920 in words is "fifty-four million, nine hundred forty-one thousand, nine hundred twenty".