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54864936 = 23327234733
BaseRepresentation
bin1101000101001…
…0110000101000
310211020102112200
43101102300220
5103021134221
65235540200
71234226040
oct321226050
9124212480
1054864936
1128a73925
121645a660
13b49c879
147402720
154c3b426
hex3452c28

54864936 has 96 divisors (see below), whose sum is σ = 177240960. Its totient is φ = 14990976.

The previous prime is 54864923. The next prime is 54864937. The reversal of 54864936 is 63946845.

It is a super-2 number, since 2×548649362 = 6020322404568192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54864891 and 54864900.

It is not an unprimeable number, because it can be changed into a prime (54864937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9226 + ... + 13958.

It is an arithmetic number, because the mean of its divisors is an integer number (1846260).

Almost surely, 254864936 is an apocalyptic number.

54864936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54864936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88620480).

54864936 is an abundant number, since it is smaller than the sum of its proper divisors (122376024).

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

54864936 is a wasteful number, since it uses less digits than its factorization.

54864936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4775 (or 4768 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 54864936 is about 7407.0868767688. The cubic root of 54864936 is about 379.9836927443.

The spelling of 54864936 in words is "fifty-four million, eight hundred sixty-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 4733 5796 9466 11592 14199 18932 28398 33131 37864 42597 56796 66262 85194 99393 108859 113592 132524 170388 198786 217718 265048 298179 326577 340776 397572 435436 596358 653154 762013 795144 870872 979731 1192716 1306308 1524026 1959462 2286039 2385432 2612616 3048052 3918924 4572078 6096104 6858117 7837848 9144156 13716234 18288312 27432468 54864936