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152404252 = 2271113172239
BaseRepresentation
bin10010001010110…
…00000100011100
3101121202221022221
421011120010130
5303003414002
623042315124
73530262160
oct1105300434
9347687287
10152404252
1179034630
1243058aa4
1325761340
1416352ca0
15d5a6c37
hex915811c

152404252 has 96 divisors (see below), whose sum is σ = 379330560. Its totient is φ = 51563520.

The previous prime is 152404249. The next prime is 152404261. The reversal of 152404252 is 252404251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66949 + ... + 69187.

It is an arithmetic number, because the mean of its divisors is an integer number (3951360).

Almost surely, 2152404252 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 152404252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189665280).

152404252 is an abundant number, since it is smaller than the sum of its proper divisors (226926308).

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

152404252 is a wasteful number, since it uses less digits than its factorization.

152404252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 152404252 is about 12345.2117033285. The cubic root of 152404252 is about 534.1530279116.

Subtracting 152404252 from its reverse (252404251), we obtain a palindrome (99999999).

It can be divided in two parts, 152 and 404252, that added together give a palindrome (404404).

The spelling of 152404252 in words is "one hundred fifty-two million, four hundred four thousand, two hundred fifty-two".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 52 68 77 91 119 143 154 182 187 221 238 286 308 364 374 442 476 572 748 884 1001 1309 1547 2002 2239 2431 2618 3094 4004 4478 4862 5236 6188 8956 9724 15673 17017 24629 29107 31346 34034 38063 49258 58214 62692 68068 76126 98516 116428 152252 172403 203749 266441 320177 344806 407498 418693 494819 532882 640354 689612 814996 837386 989638 1065764 1280708 1674772 1979276 2241239 2930851 3463733 4482478 5443009 5861702 6927466 8964956 10886018 11723404 13854932 21772036 38101063 76202126 152404252