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252295360 = 2652931877
BaseRepresentation
bin11110000100110…
…11100011000000
3122120201221011121
433002123203000
51004041422420
641011322024
76152321662
oct1702334300
9576657147
10252295360
1111a461269
12705b0314
13403673c5
1425716532
15172392aa
hexf09b8c0

252295360 has 112 divisors (see below), whose sum is σ = 642274560. Its totient is φ = 94187520.

The previous prime is 252295327. The next prime is 252295367. The reversal of 252295360 is 63592252.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (252295367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287242 + ... + 288118.

Almost surely, 2252295360 is an apocalyptic number.

252295360 is a gapful number since it is divisible by the number (20) 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 252295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321137280).

252295360 is an abundant number, since it is smaller than the sum of its proper divisors (389979200).

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

252295360 is a wasteful number, since it uses less digits than its factorization.

252295360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 252295360 is about 15883.8081076296. The cubic root of 252295360 is about 631.8826359003.

The spelling of 252295360 in words is "two hundred fifty-two million, two hundred ninety-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 31 32 40 58 62 64 80 116 124 145 155 160 232 248 290 310 320 464 496 580 620 877 899 928 992 1160 1240 1754 1798 1856 1984 2320 2480 3508 3596 4385 4495 4640 4960 7016 7192 8770 8990 9280 9920 14032 14384 17540 17980 25433 27187 28064 28768 35080 35960 50866 54374 56128 57536 70160 71920 101732 108748 127165 135935 140320 143840 203464 217496 254330 271870 280640 287680 406928 434992 508660 543740 788423 813856 869984 1017320 1087480 1576846 1627712 1739968 2034640 2174960 3153692 3942115 4069280 4349920 6307384 7884230 8138560 8699840 12614768 15768460 25229536 31536920 50459072 63073840 126147680 252295360