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52138404 = 22342931179
BaseRepresentation
bin1100011011100…
…1000110100100
310122002220110000
43012321012210
5101321412104
65101301300
71202112003
oct306710644
9118086400
1052138404
112748139a
1215564830
13aa56836
146cd2c3a
15489d639
hex31b91a4

52138404 has 120 divisors (see below), whose sum is σ = 146361600. Its totient is φ = 16148160.

The previous prime is 52138381. The next prime is 52138409. The reversal of 52138404 is 40483125.

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

It is not an unprimeable number, because it can be changed into a prime (52138409) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 291187 + ... + 291365.

It is an arithmetic number, because the mean of its divisors is an integer number (1219680).

Almost surely, 252138404 is an apocalyptic number.

52138404 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52138404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73180800).

52138404 is an abundant number, since it is smaller than the sum of its proper divisors (94223196).

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

52138404 is a wasteful number, since it uses less digits than its factorization.

52138404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 52138404 is about 7220.6927645483. The cubic root of 52138404 is about 373.5819726211.

The spelling of 52138404 in words is "fifty-two million, one hundred thirty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 29 31 36 54 58 62 81 87 93 108 116 124 162 174 179 186 261 279 324 348 358 372 522 537 558 716 783 837 899 1044 1074 1116 1566 1611 1674 1798 2148 2349 2511 2697 3132 3222 3348 3596 4698 4833 5022 5191 5394 5549 6444 8091 9396 9666 10044 10382 10788 11098 14499 15573 16182 16647 19332 20764 22196 24273 28998 31146 32364 33294 46719 48546 49941 57996 62292 66588 72819 93438 97092 99882 140157 145638 149823 160921 186876 199764 280314 291276 299646 321842 420471 449469 482763 560628 599292 643684 840942 898938 965526 1448289 1681884 1797876 1931052 2896578 4344867 5793156 8689734 13034601 17379468 26069202 52138404