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252713952 = 2533292493
BaseRepresentation
bin11110001000000…
…01101111100000
3122121112012101000
433010001233200
51004143321302
641024312000
76156014241
oct1704015740
9577465330
10252713952
1111a717807
1270772600
1340482aaa
14257c4cc8
15172bd31c
hexf101be0

252713952 has 48 divisors (see below), whose sum is σ = 737084880. Its totient is φ = 84237696.

The previous prime is 252713947. The next prime is 252713957. The reversal of 252713952 is 259317252.

It is an interprime number because it is at equal distance from previous prime (252713947) and next prime (252713957).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252713957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145383 + ... + 147110.

It is an arithmetic number, because the mean of its divisors is an integer number (15355935).

Almost surely, 2252713952 is an apocalyptic number.

It is an amenable number.

252713952 is an abundant number, since it is smaller than the sum of its proper divisors (484370928).

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

252713952 is a wasteful number, since it uses less digits than its factorization.

252713952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292512 (or 292498 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 252713952 is about 15896.9793357103. The cubic root of 252713952 is about 632.2319022919.

The spelling of 252713952 in words is "two hundred fifty-two million, seven hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 292493 584986 877479 1169972 1754958 2339944 2632437 3509916 4679888 5264874 7019832 7897311 9359776 10529748 14039664 15794622 21059496 28079328 31589244 42118992 63178488 84237984 126356976 252713952