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53624032 = 2572113109
BaseRepresentation
bin1100110010001…
…1110011100000
310201220101100021
43030203303200
5102211432112
65153203224
71220540200
oct314436340
9121811307
1053624032
11282a6590
1215b60514
13b156ac7
14719c400
154a93907
hex3323ce0

53624032 has 72 divisors (see below), whose sum is σ = 134016120. Its totient is φ = 20885760.

The previous prime is 53624027. The next prime is 53624041. The reversal of 53624032 is 23042635.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 53623988 and 53624006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15694 + ... + 18802.

It is an arithmetic number, because the mean of its divisors is an integer number (1861335).

Almost surely, 253624032 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 53624032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67008060).

53624032 is an abundant number, since it is smaller than the sum of its proper divisors (80392088).

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

53624032 is a wasteful number, since it uses less digits than its factorization.

53624032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 53624032 is about 7322.8431636899. The cubic root of 53624032 is about 377.0970675529.

Adding to 53624032 its reverse (23042635), we get a palindrome (76666667).

The spelling of 53624032 in words is "fifty-three million, six hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 3109 4312 6218 8624 12436 17248 21763 24872 34199 43526 49744 68398 87052 99488 136796 152341 174104 239393 273592 304682 348208 478786 547184 609364 696416 957572 1094368 1218728 1675751 1915144 2437456 3351502 3830288 4874912 6703004 7660576 13406008 26812016 53624032