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53253504 = 273319811
BaseRepresentation
bin1100101100100…
…1010110000000
310201012120002000
43023021112000
5102113103004
65141224000
71214435013
oct313112600
9121176060
1053253504
1128073167
1215a02000
13b057265
14710337a
154a1dc39
hex32c9580

53253504 has 128 divisors (see below), whose sum is σ = 165648000. Its totient is φ = 16796160.

The previous prime is 53253493. The next prime is 53253509. The reversal of 53253504 is 40535235.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53253509) 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, 65259 + ... + 66069.

It is an arithmetic number, because the mean of its divisors is an integer number (1294125).

Almost surely, 253253504 is an apocalyptic number.

53253504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53253504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82824000).

53253504 is an abundant number, since it is smaller than the sum of its proper divisors (112394496).

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

53253504 is a wasteful number, since it uses less digits than its factorization.

53253504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 53253504 is about 7297.4998458376. The cubic root of 53253504 is about 376.2265120748.

Adding to 53253504 its reverse (40535235), we get a palindrome (93788739).

The spelling of 53253504 in words is "fifty-three million, two hundred fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 811 864 912 1026 1152 1216 1368 1622 1728 1824 2052 2432 2433 2736 3244 3456 3648 4104 4866 5472 6488 7296 7299 8208 9732 10944 12976 14598 15409 16416 19464 21888 21897 25952 29196 30818 32832 38928 43794 46227 51904 58392 61636 65664 77856 87588 92454 103808 116784 123272 138681 155712 175176 184908 233568 246544 277362 311424 350352 369816 416043 467136 493088 554724 700704 739632 832086 934272 986176 1109448 1401408 1479264 1664172 1972352 2218896 2802816 2958528 3328344 4437792 5917056 6656688 8875584 13313376 17751168 26626752 53253504