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56328636 = 22372137369
BaseRepresentation
bin1101011011100…
…0000110111100
310220222210100210
43112320012330
5103410004021
65331152420
71252533300
oct326700674
9126883323
1056328636
11298835a1
1216a45710
13b892b70
1476a3d00
154e29e76
hex35b81bc

56328636 has 72 divisors (see below), whose sum is σ = 164675280. Its totient is φ = 14853888.

The previous prime is 56328619. The next prime is 56328637. The reversal of 56328636 is 63682365.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 56328594 and 56328603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56328637) 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, 3960 + ... + 11328.

Almost surely, 256328636 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 56328636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82337640).

56328636 is an abundant number, since it is smaller than the sum of its proper divisors (108346644).

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

56328636 is a wasteful number, since it uses less digits than its factorization.

56328636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7403 (or 7394 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 56328636 is about 7505.2405690957. The cubic root of 56328636 is about 383.3331797521. Note that the first 3 decimals are identical.

The spelling of 56328636 in words is "fifty-six million, three hundred twenty-eight thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1092 1274 1911 2548 3822 7369 7644 14738 22107 29476 44214 51583 88428 95797 103166 154749 191594 206332 287391 309498 361081 383188 574782 618996 670579 722162 1083243 1149564 1341158 1444324 2011737 2166486 2682316 4023474 4332972 4694053 8046948 9388106 14082159 18776212 28164318 56328636