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53940672 = 2632372531
BaseRepresentation
bin1100110111000…
…1000111000000
310202111110200200
43031301013000
5102302100142
65204045200
71223326302
oct315610700
9122443620
1053940672
11284a2475
1216093800
13b237c76
147241972
154b0764c
hex33711c0

53940672 has 84 divisors (see below), whose sum is σ = 158852616. Its totient is φ = 17487360.

The previous prime is 53940661. The next prime is 53940683. The reversal of 53940672 is 27604935.

It is an interprime number because it is at equal distance from previous prime (53940661) and next prime (53940683).

It is a super-3 number, since 3×539406723 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20047 + ... + 22577.

Almost surely, 253940672 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 53940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79426308).

53940672 is an abundant number, since it is smaller than the sum of its proper divisors (104911944).

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

53940672 is a wasteful number, since it uses less digits than its factorization.

53940672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 53940672 is about 7344.4313598808. The cubic root of 53940672 is about 377.8378409178.

The spelling of 53940672 in words is "fifty-three million, nine hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2531 2664 3552 5062 5328 7104 7593 10124 10656 15186 20248 21312 22779 30372 40496 45558 60744 80992 91116 93647 121488 161984 182232 187294 242976 280941 364464 374588 485952 561882 728928 749176 842823 1123764 1457856 1498352 1685646 2247528 2996704 3371292 4495056 5993408 6742584 8990112 13485168 17980224 26970336 53940672