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53663424 = 2631741401
BaseRepresentation
bin1100110010110…
…1011011000000
310201222101101020
43030231123000
5102214212144
65154105440
71221063063
oct314553300
9121871336
1053663424
1128323141
1215b7b280
13b16ba09
1471ac8da
154aa0419
hex332d6c0

53663424 has 112 divisors (see below), whose sum is σ = 154387296. Its totient is φ = 16384000.

The previous prime is 53663377. The next prime is 53663443. The reversal of 53663424 is 42436635.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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, 133624 + ... + 134024.

It is an arithmetic number, because the mean of its divisors is an integer number (1378458).

Almost surely, 253663424 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 53663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77193648).

53663424 is an abundant number, since it is smaller than the sum of its proper divisors (100723872).

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

53663424 is a wasteful number, since it uses less digits than its factorization.

53663424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 464 counting only the distinct ones).

The product of its digits is 51840, while the sum is 33.

The square root of 53663424 is about 7325.5323356054. The cubic root of 53663424 is about 377.1893829523.

The spelling of 53663424 in words is "fifty-three million, six hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 64 68 82 96 102 123 136 164 192 204 246 272 328 401 408 492 544 656 697 802 816 984 1088 1203 1312 1394 1604 1632 1968 2091 2406 2624 2788 3208 3264 3936 4182 4812 5576 6416 6817 7872 8364 9624 11152 12832 13634 16441 16728 19248 20451 22304 25664 27268 32882 33456 38496 40902 44608 49323 54536 65764 66912 76992 81804 98646 109072 131528 133824 163608 197292 218144 263056 279497 327216 394584 436288 526112 558994 654432 789168 838491 1052224 1117988 1308864 1578336 1676982 2235976 3156672 3353964 4471952 6707928 8943904 13415856 17887808 26831712 53663424