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52189920 = 253454027
BaseRepresentation
bin1100011100010…
…1101011100000
310122012112010000
43013011223200
5101330034140
65102340000
71202415126
oct307055340
9118175100
1052189920
1127507072
121558a600
13aa74113
146d07916
1548ada30
hex31c5ae0

52189920 has 120 divisors (see below), whose sum is σ = 184232664. Its totient is φ = 13913856.

The previous prime is 52189919. The next prime is 52189961. The reversal of 52189920 is 2998125.

It is a tau number, because it is divible by the number of its divisors (120).

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10947 + ... + 14973.

Almost surely, 252189920 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 52189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92116332).

52189920 is an abundant number, since it is smaller than the sum of its proper divisors (132042744).

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

52189920 is a wasteful number, since it uses less digits than its factorization.

52189920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 4037 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 52189920 is about 7224.2591315650. The cubic root of 52189920 is about 373.7049728943.

The spelling of 52189920 in words is "fifty-two million, one hundred eighty-nine thousand, nine 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 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4027 4320 6480 8054 12081 12960 16108 20135 24162 32216 36243 40270 48324 60405 64432 72486 80540 96648 108729 120810 128864 144972 161080 181215 193296 217458 241620 289944 322160 326187 362430 386592 434916 483240 543645 579888 644320 652374 724860 869832 966480 1087290 1159776 1304748 1449720 1630935 1739664 1932960 2174580 2609496 2899440 3261870 3479328 4349160 5218992 5798880 6523740 8698320 10437984 13047480 17396640 26094960 52189920