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52350984 = 23327241431
BaseRepresentation
bin1100011110110…
…1000000001000
310122111201001100
43013231000020
5101400212414
65110021400
71203655530
oct307550010
9118451040
1052350984
1127607084
1215647860
13aacc51a
146d4a4c0
1548e1609
hex31ed008

52350984 has 96 divisors (see below), whose sum is σ = 163088640. Its totient is φ = 14860800.

The previous prime is 52350983. The next prime is 52351021. The reversal of 52350984 is 48905325.

52350984 is a `hidden beast` number, since 523 + 50 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52350983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121249 + ... + 121679.

It is an arithmetic number, because the mean of its divisors is an integer number (1698840).

Almost surely, 252350984 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 52350984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81544320).

52350984 is an abundant number, since it is smaller than the sum of its proper divisors (110737656).

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

52350984 is a wasteful number, since it uses less digits than its factorization.

52350984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 52350984 is about 7235.3979849073. The cubic root of 52350984 is about 374.0890100516.

The spelling of 52350984 in words is "fifty-two million, three hundred fifty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 241 252 431 482 504 723 862 964 1293 1446 1687 1724 1928 2169 2586 2892 3017 3374 3448 3879 4338 5061 5172 5784 6034 6748 7758 8676 9051 10122 10344 12068 13496 15183 15516 17352 18102 20244 24136 27153 30366 31032 36204 40488 54306 60732 72408 103871 108612 121464 207742 217224 311613 415484 623226 727097 830968 934839 1246452 1454194 1869678 2181291 2492904 2908388 3739356 4362582 5816776 6543873 7478712 8725164 13087746 17450328 26175492 52350984