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52816320 = 263356113
BaseRepresentation
bin1100100101111…
…0100111000000
310200101100101000
43021132213000
5102010110240
65124012000
71210634304
oct311364700
9120340330
1052816320
11278a4757
1215831000
13ac3327b
14702bd04
154984430
hex325e9c0

52816320 has 112 divisors (see below), whose sum is σ = 186354720. Its totient is φ = 14082048.

The previous prime is 52816307. The next prime is 52816339. The reversal of 52816320 is 2361825.

52816320 is a `hidden beast` number, since 5 + 28 + 1 + 632 + 0 = 666.

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

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, 5584 + ... + 11696.

Almost surely, 252816320 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 52816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93177360).

52816320 is an abundant number, since it is smaller than the sum of its proper divisors (133538400).

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

52816320 is a wasteful number, since it uses less digits than its factorization.

52816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6139 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 52816320 is about 7267.4837461119. The cubic root of 52816320 is about 375.1941394756.

The spelling of 52816320 in words is "fifty-two million, eight hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 6113 8640 12226 18339 24452 30565 36678 48904 55017 61130 73356 91695 97808 110034 122260 146712 165051 183390 195616 220068 244520 275085 293424 330102 366780 391232 440136 489040 550170 586848 660204 733560 825255 880272 978080 1100340 1173696 1320408 1467120 1650510 1760544 1956160 2200680 2640816 2934240 3301020 3521088 4401360 5281632 5868480 6602040 8802720 10563264 13204080 17605440 26408160 52816320