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56674576 = 247323449
BaseRepresentation
bin1101100000110…
…0100100010000
310221122100220101
43120030210100
5104002041301
65342422144
71255504000
oct330144420
9127570811
1056674576
1129a9a4a2
1216b91954
13b98446a
147754000
154e97701
hex360c910

56674576 has 80 divisors (see below), whose sum is σ = 133920000. Its totient is φ = 23181312.

The previous prime is 56674573. The next prime is 56674591. The reversal of 56674576 is 67547665.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56674573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126000 + ... + 126448.

It is an arithmetic number, because the mean of its divisors is an integer number (1674000).

Almost surely, 256674576 is an apocalyptic number.

56674576 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 56674576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960000).

56674576 is an abundant number, since it is smaller than the sum of its proper divisors (77245424).

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

56674576 is a wasteful number, since it uses less digits than its factorization.

56674576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 481 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 46.

The square root of 56674576 is about 7528.2518555107. The cubic root of 56674576 is about 384.1163203744.

The spelling of 56674576 in words is "fifty-six million, six hundred seventy-four thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 343 368 392 449 644 686 784 898 1127 1288 1372 1796 2254 2576 2744 3143 3592 4508 5488 6286 7184 7889 9016 10327 12572 15778 18032 20654 22001 25144 31556 41308 44002 50288 63112 72289 82616 88004 126224 144578 154007 165232 176008 289156 308014 352016 506023 578312 616028 1012046 1156624 1232056 2024092 2464112 3542161 4048184 7084322 8096368 14168644 28337288 56674576