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54974430 = 23357172959
BaseRepresentation
bin1101000110110…
…1011111011110
310211102222202000
43101231133132
5103033140210
65242143130
71235163210
oct321553736
9124388660
1054974430
1129039115
12164b1aa6
13b50a664
1474305b0
154c5dac0
hex346d7de

54974430 has 256 divisors, whose sum is σ = 186624000. Its totient is φ = 11225088.

The previous prime is 54974417. The next prime is 54974449. The reversal of 54974430 is 3447945.

54974430 is a `hidden beast` number, since 549 + 74 + 43 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 931741 + ... + 931799.

It is an arithmetic number, because the mean of its divisors is an integer number (729000).

Almost surely, 254974430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54974430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93312000).

54974430 is an abundant number, since it is smaller than the sum of its proper divisors (131649570).

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

54974430 is a wasteful number, since it uses less digits than its factorization.

54974430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 54974430 is about 7414.4743576332. The cubic root of 54974430 is about 380.2363027017.

The spelling of 54974430 in words is "fifty-four million, nine hundred seventy-four thousand, four hundred thirty".