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52629456 = 24311263379
BaseRepresentation
bin1100100011000…
…0111111010000
310200000212001010
43020300333100
5101433120311
65120010520
71206225435
oct310607720
9120025033
1052629456
1127787320
1215760a40
13ab991b9
146dbdb8c
154948da6
hex3230fd0

52629456 has 80 divisors (see below), whose sum is σ = 149276160. Its totient is φ = 15845760.

The previous prime is 52629443. The next prime is 52629469. The reversal of 52629456 is 65492625.

It is an interprime number because it is at equal distance from previous prime (52629443) and next prime (52629469).

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, 138675 + ... + 139053.

It is an arithmetic number, because the mean of its divisors is an integer number (1865952).

Almost surely, 252629456 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 52629456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74638080).

52629456 is an abundant number, since it is smaller than the sum of its proper divisors (96646704).

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

52629456 is a wasteful number, since it uses less digits than its factorization.

52629456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 52629456 is about 7254.6161855745. The cubic root of 52629456 is about 374.7511379949.

The spelling of 52629456 in words is "fifty-two million, six hundred twenty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 263 264 379 526 528 758 789 1052 1137 1516 1578 2104 2274 2893 3032 3156 4169 4208 4548 5786 6064 6312 8338 8679 9096 11572 12507 12624 16676 17358 18192 23144 25014 33352 34716 46288 50028 66704 69432 99677 100056 138864 199354 200112 299031 398708 598062 797416 1096447 1196124 1594832 2192894 2392248 3289341 4385788 4784496 6578682 8771576 13157364 17543152 26314728 52629456