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252157984 = 25136783109
BaseRepresentation
bin11110000011110…
…10000000100000
3122120110221201121
433001322000200
51004023023414
641004342024
76151210321
oct1701720040
9576427647
10252157984
1111a378031
1270544914
1340319a10
14256bc448
151720d724
hexf07a020

252157984 has 96 divisors (see below), whose sum is σ = 554178240. Its totient is φ = 112223232.

The previous prime is 252157973. The next prime is 252158003. The reversal of 252157984 is 489751252.

It is a self number, because there is not a number n which added to its sum of digits gives 252157984.

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, 2313322 + ... + 2313430.

It is an arithmetic number, because the mean of its divisors is an integer number (5772690).

Almost surely, 2252157984 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 252157984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277089120).

252157984 is an abundant number, since it is smaller than the sum of its proper divisors (302020256).

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

252157984 is a wasteful number, since it uses less digits than its factorization.

252157984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its digits is 201600, while the sum is 43.

The square root of 252157984 is about 15879.4831150135. The cubic root of 252157984 is about 631.7679273974.

The spelling of 252157984 in words is "two hundred fifty-two million, one hundred fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 67 83 104 109 134 166 208 218 268 332 416 436 536 664 871 872 1072 1079 1328 1417 1742 1744 2144 2158 2656 2834 3484 3488 4316 5561 5668 6968 7303 8632 9047 11122 11336 13936 14606 17264 18094 22244 22672 27872 29212 34528 36188 44488 45344 58424 72293 72376 88976 94939 116848 117611 144586 144752 177952 189878 233696 235222 289172 289504 379756 470444 578344 606149 759512 940888 1156688 1212298 1519024 1881776 2313376 2424596 3038048 3763552 4849192 7879937 9698384 15759874 19396768 31519748 63039496 126078992 252157984