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52797120 = 2635431279
BaseRepresentation
bin1100100101100…
…1111011000000
310200100101000220
43021121323000
5102004001440
65123343040
71210524315
oct311317300
9120311026
1052797120
1127891292
1215821a80
13ac275cc
147024d0c
15497d8d0
hex3259ec0

52797120 has 112 divisors (see below), whose sum is σ = 171663360. Its totient is φ = 13741056.

The previous prime is 52797119. The next prime is 52797137. The reversal of 52797120 is 2179725.

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, 40641 + ... + 41919.

Almost surely, 252797120 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 52797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85831680).

52797120 is an abundant number, since it is smaller than the sum of its proper divisors (118866240).

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

52797120 is a wasteful number, since it uses less digits than its factorization.

52797120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 52797120 is about 7266.1626736538. The cubic root of 52797120 is about 375.1486699404.

The spelling of 52797120 in words is "fifty-two million, seven hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 129 160 172 192 215 240 258 320 344 430 480 516 645 688 860 960 1032 1279 1290 1376 1720 2064 2558 2580 2752 3440 3837 4128 5116 5160 6395 6880 7674 8256 10232 10320 12790 13760 15348 19185 20464 20640 25580 30696 38370 40928 41280 51160 54997 61392 76740 81856 102320 109994 122784 153480 164991 204640 219988 245568 274985 306960 329982 409280 439976 549970 613920 659964 824955 879952 1099940 1227840 1319928 1649910 1759904 2199880 2639856 3299820 3519808 4399760 5279712 6599640 8799520 10559424 13199280 17599040 26398560 52797120