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56281440 = 2535373169
BaseRepresentation
bin1101011010110…
…0100101100000
310220220101121210
43112230211200
5103402001230
65330150120
71252245555
oct326544540
9126811553
1056281440
1129851096
1216a22340
13b877537
147690a2c
154e1aeb0
hex35ac960

56281440 has 96 divisors (see below), whose sum is σ = 182135520. Its totient is φ = 14598144.

The previous prime is 56281429. The next prime is 56281471. The reversal of 56281440 is 4418265.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 56281398 and 56281407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16176 + ... + 19344.

It is an arithmetic number, because the mean of its divisors is an integer number (1897245).

Almost surely, 256281440 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 56281440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91067760).

56281440 is an abundant number, since it is smaller than the sum of its proper divisors (125854080).

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

56281440 is a wasteful number, since it uses less digits than its factorization.

56281440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 56281440 is about 7502.0957072008. The cubic root of 56281440 is about 383.2260888818.

The spelling of 56281440 in words is "fifty-six million, two hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3169 3552 4440 5920 6338 8880 9507 12676 15845 17760 19014 25352 31690 38028 47535 50704 63380 76056 95070 101408 117253 126760 152112 190140 234506 253520 304224 351759 380280 469012 507040 586265 703518 760560 938024 1172530 1407036 1521120 1758795 1876048 2345060 2814072 3517590 3752096 4690120 5628144 7035180 9380240 11256288 14070360 18760480 28140720 56281440