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54974016 = 263295441
BaseRepresentation
bin1101000110110…
…1011001000000
310211102222011200
43101231121000
5103033132031
65242141200
71235162046
oct321553100
9124388150
1054974016
1129038879
12164b1800
13b50a406
147430396
154c5d8e6
hex346d640

54974016 has 42 divisors (see below), whose sum is σ = 157574742. Its totient is φ = 18324480.

The previous prime is 54973999. The next prime is 54974033. The reversal of 54974016 is 61047945.

It is an interprime number because it is at equal distance from previous prime (54973999) and next prime (54974033).

It can be written as a sum of positive squares in only one way, i.e., 53231616 + 1742400 = 7296^2 + 1320^2 .

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

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 5 ways as a sum of consecutive naturals, for example, 47145 + ... + 48296.

Almost surely, 254974016 is an apocalyptic number.

It is an amenable number.

54974016 is an abundant number, since it is smaller than the sum of its proper divisors (102600726).

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

54974016 is a wasteful number, since it uses less digits than its factorization.

54974016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95459 (or 95446 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 54974016 is about 7414.4464392158. The cubic root of 54974016 is about 380.2353482081.

The spelling of 54974016 in words is "fifty-four million, nine hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 95441 190882 286323 381764 572646 763528 858969 1145292 1527056 1717938 2290584 3054112 3435876 4581168 6108224 6871752 9162336 13743504 18324672 27487008 54974016