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54985320 = 233251331379
BaseRepresentation
bin1101000111000…
…0001001101000
310211110112200100
43101300021220
5103034012240
65242305400
71235240025
oct321601150
9124415610
1054985320
1129046315
12164b8260
13b5125c0
14743454c
154c61e30
hex3470268

54985320 has 192 divisors, whose sum is σ = 199180800. Its totient is φ = 13063680.

The previous prime is 54985283. The next prime is 54985379. The reversal of 54985320 is 2358945.

54985320 is a `hidden beast` number, since 549 + 85 + 32 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144891 + ... + 145269.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 254985320 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 54985320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99590400).

54985320 is an abundant number, since it is smaller than the sum of its proper divisors (144195480).

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

54985320 is a wasteful number, since it uses less digits than its factorization.

54985320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 54985320 is about 7415.2086956471. The cubic root of 54985320 is about 380.2614083126.

The spelling of 54985320 in words is "fifty-four million, nine hundred eighty-five thousand, three hundred twenty".