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53424576 = 263343719
BaseRepresentation
bin1100101111001…
…1000111000000
310201112020202000
43023303013000
5102134041301
65145024000
71216046532
oct313630700
9121466660
1053424576
112817a747
1215a85000
13b0b709a
147149852
154a54786
hex32f31c0

53424576 has 112 divisors (see below), whose sum is σ = 160934400. Its totient is φ = 17369856.

The previous prime is 53424541. The next prime is 53424577. The reversal of 53424576 is 67542435.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53424576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53424577) 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, 73945 + ... + 74663.

Almost surely, 253424576 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 53424576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80467200).

53424576 is an abundant number, since it is smaller than the sum of its proper divisors (107509824).

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

53424576 is a wasteful number, since it uses less digits than its factorization.

53424576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 767 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 53424576 is about 7309.2117222037. The cubic root of 53424576 is about 376.6289458489.

The spelling of 53424576 in words is "fifty-three million, four hundred twenty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 129 144 172 192 216 258 288 344 387 432 516 576 688 719 774 864 1032 1161 1376 1438 1548 1728 2064 2157 2322 2752 2876 3096 4128 4314 4644 5752 6192 6471 8256 8628 9288 11504 12384 12942 17256 18576 19413 23008 24768 25884 30917 34512 37152 38826 46016 51768 61834 69024 74304 77652 92751 103536 123668 138048 155304 185502 207072 247336 278253 310608 371004 414144 494672 556506 621216 742008 834759 989344 1113012 1242432 1484016 1669518 1978688 2226024 2968032 3339036 4452048 5936064 6678072 8904096 13356144 17808192 26712288 53424576