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56232480 = 2535193607
BaseRepresentation
bin1101011010000…
…0101000100000
310220210220110110
43112200220200
5103343414410
65325131320
71251653043
oct326405040
9126726413
1056232480
1129818327
12169b9b40
13b85b175
14767ac5a
154e0b720
hex35a0a20

56232480 has 96 divisors (see below), whose sum is σ = 178343424. Its totient is φ = 14893056.

The previous prime is 56232467. The next prime is 56232499. The reversal of 56232480 is 8423265.

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 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, 92337 + ... + 92943.

It is an arithmetic number, because the mean of its divisors is an integer number (1857744).

Almost surely, 256232480 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 56232480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89171712).

56232480 is an abundant number, since it is smaller than the sum of its proper divisors (122110944).

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

56232480 is a wasteful number, since it uses less digits than its factorization.

56232480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 56232480 is about 7498.8319090376. The cubic root of 56232480 is about 383.1149320919.

The spelling of 56232480 in words is "fifty-six million, two hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 193 240 386 480 579 607 772 965 1158 1214 1544 1821 1930 2316 2428 2895 3035 3088 3642 3860 4632 4856 5790 6070 6176 7284 7720 9105 9264 9712 11580 12140 14568 15440 18210 18528 19424 23160 24280 29136 30880 36420 46320 48560 58272 72840 92640 97120 117151 145680 234302 291360 351453 468604 585755 702906 937208 1171510 1405812 1757265 1874416 2343020 2811624 3514530 3748832 4686040 5623248 7029060 9372080 11246496 14058120 18744160 28116240 56232480