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53963136 = 2732139337
BaseRepresentation
bin1100110111011…
…0100110000000
310202112121111200
43031312212000
5102303310021
65204341200
71223451633
oct315664600
9122477450
1053963136
1128508337
12160a4800
13b245266
147249c1a
154b0e126
hex3376980

53963136 has 96 divisors (see below), whose sum is σ = 156865800. Its totient is φ = 17805312.

The previous prime is 53963123. The next prime is 53963141. The reversal of 53963136 is 63136935.

It is a tau number, because it is divible by the number of its divisors (96).

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 53963136.

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, 159960 + ... + 160296.

Almost surely, 253963136 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 53963136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78432900).

53963136 is an abundant number, since it is smaller than the sum of its proper divisors (102902664).

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

53963136 is a wasteful number, since it uses less digits than its factorization.

53963136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 481 counting only the distinct ones).

The product of its digits is 43740, while the sum is 36.

The square root of 53963136 is about 7345.9605226274. The cubic root of 53963136 is about 377.8902847785.

The spelling of 53963136 in words is "fifty-three million, nine hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 278 288 337 384 417 556 576 674 834 1011 1112 1152 1251 1348 1668 2022 2224 2502 2696 3033 3336 4044 4448 5004 5392 6066 6672 8088 8896 10008 10784 12132 13344 16176 17792 20016 21568 24264 26688 32352 40032 43136 46843 48528 53376 64704 80064 93686 97056 129408 140529 160128 187372 194112 281058 374744 388224 421587 562116 749488 843174 1124232 1498976 1686348 2248464 2997952 3372696 4496928 5995904 6745392 8993856 13490784 17987712 26981568 53963136