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53056320 = 2635173251
BaseRepresentation
bin1100101001100…
…1001101000000
310200211112120220
43022121031000
5102040300240
65133103040
71212654102
oct312311500
9120745526
1053056320
1127a48aa9
1215927a80
13acb8595
147091572
1549d05d0
hex3299340

53056320 has 112 divisors (see below), whose sum is σ = 178417728. Its totient is φ = 13312000.

The previous prime is 53056319. The next prime is 53056351. The reversal of 53056320 is 2365035.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 14695 + ... + 17945.

Almost surely, 253056320 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 53056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89208864).

53056320 is an abundant number, since it is smaller than the sum of its proper divisors (125361408).

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

53056320 is a wasteful number, since it uses less digits than its factorization.

53056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 53056320 is about 7283.9769357131. The cubic root of 53056320 is about 375.7615811595.

The spelling of 53056320 in words is "fifty-three million, fifty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3251 3264 4080 5440 6502 8160 9753 13004 16255 16320 19506 26008 32510 39012 48765 52016 55267 65020 78024 97530 104032 110534 130040 156048 165801 195060 208064 221068 260080 276335 312096 331602 390120 442136 520160 552670 624192 663204 780240 829005 884272 1040320 1105340 1326408 1560480 1658010 1768544 2210680 2652816 3120960 3316020 3537088 4421360 5305632 6632040 8842720 10611264 13264080 17685440 26528160 53056320