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538983792 = 243219296793
BaseRepresentation
bin100000001000000…
…011110101110000
31101120012012202200
4200020003311300
52100434440132
6125252143200
716233200214
oct4010036560
91346165680
10538983792
11257273556
12130607b00
1387884229
1451822944
15324b8d7c
hex20203d70

538983792 has 120 divisors (see below), whose sum is σ = 1642789200. Its totient is φ = 164312064.

The previous prime is 538983769. The next prime is 538983803. The reversal of 538983792 is 297389835.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75948 + ... + 82740.

It is an arithmetic number, because the mean of its divisors is an integer number (13689910).

Almost surely, 2538983792 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 538983792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821394600).

538983792 is an abundant number, since it is smaller than the sum of its proper divisors (1103805408).

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

538983792 is a wasteful number, since it uses less digits than its factorization.

538983792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6855 (or 6846 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 538983792 is about 23216.0244658727. The cubic root of 538983792 is about 813.8141470099.

The spelling of 538983792 in words is "five hundred thirty-eight million, nine hundred eighty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 36 38 48 57 58 72 76 87 114 116 144 152 171 174 228 232 261 304 342 348 456 464 522 551 684 696 912 1044 1102 1368 1392 1653 2088 2204 2736 3306 4176 4408 4959 6612 6793 8816 9918 13224 13586 19836 20379 26448 27172 39672 40758 54344 61137 79344 81516 108688 122274 129067 163032 196997 244548 258134 326064 387201 393994 489096 516268 590991 774402 787988 978192 1032536 1161603 1181982 1548804 1575976 1772973 2065072 2323206 2363964 3097608 3151952 3545946 3742943 4646412 4727928 6195216 7091892 7485886 9292824 9455856 11228829 14183784 14971772 18585648 22457658 28367568 29943544 33686487 44915316 59887088 67372974 89830632 134745948 179661264 269491896 538983792