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53869824 = 2832103227
BaseRepresentation
bin1100110101111…
…1110100000000
310202100212111200
43031133310000
5102242313244
65202341200
71222612611
oct315376400
9122325450
1053869824
1128454218
121605a800
13b211948
147223c08
154ae1669
hex335fd00

53869824 has 108 divisors (see below), whose sum is σ = 157518816. Its totient is φ = 17703936.

The previous prime is 53869819. The next prime is 53869843. The reversal of 53869824 is 42896835.

53869824 is a `hidden beast` number, since 538 + 6 + 98 + 24 = 666.

53869824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 53869824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237199 + ... + 237425.

Almost surely, 253869824 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 53869824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78759408).

53869824 is an abundant number, since it is smaller than the sum of its proper divisors (103648992).

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

53869824 is a wasteful number, since it uses less digits than its factorization.

53869824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 335 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 53869824 is about 7339.6065289633. The cubic root of 53869824 is about 377.6723456134.

The spelling of 53869824 in words is "fifty-three million, eight hundred sixty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 192 206 227 256 288 309 384 412 454 576 618 681 768 824 908 927 1152 1236 1362 1648 1816 1854 2043 2304 2472 2724 3296 3632 3708 4086 4944 5448 6592 7264 7416 8172 9888 10896 13184 14528 14832 16344 19776 21792 23381 26368 29056 29664 32688 39552 43584 46762 58112 59328 65376 70143 79104 87168 93524 118656 130752 140286 174336 187048 210429 237312 261504 280572 374096 420858 523008 561144 748192 841716 1122288 1496384 1683432 2244576 2992768 3366864 4489152 5985536 6733728 8978304 13467456 17956608 26934912 53869824