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1295042952 = 2337210910103
BaseRepresentation
bin100110100110000…
…1100100110001000
310100020211222221210
41031030030212020
510123012333302
6332301133120
744043453300
oct11514144610
93306758853
101295042952
11605021a35
1230185a1a0
131783c0908
14c3dd0600
1578a6166c
hex4d30c988

1295042952 has 96 divisors (see below), whose sum is σ = 3801124800. Its totient is φ = 366581376.

The previous prime is 1295042951. The next prime is 1295042989. The reversal of 1295042952 is 2592405921.

It is a self number, because there is not a number n which added to its sum of digits gives 1295042952.

It is not an unprimeable number, because it can be changed into a prime (1295042951) 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, 123133 + ... + 133235.

It is an arithmetic number, because the mean of its divisors is an integer number (39595050).

Almost surely, 21295042952 is an apocalyptic number.

1295042952 is a gapful number since it is divisible by the number (12) 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 1295042952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900562400).

1295042952 is an abundant number, since it is smaller than the sum of its proper divisors (2506081848).

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

1295042952 is a wasteful number, since it uses less digits than its factorization.

1295042952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10235 (or 10224 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 1295042952 is about 35986.7052117862. The cubic root of 1295042952 is about 1090.0039143590.

The spelling of 1295042952 in words is "one billion, two hundred ninety-five million, forty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 109 147 168 196 218 294 327 392 436 588 654 763 872 1176 1308 1526 2289 2616 3052 4578 5341 6104 9156 10103 10682 16023 18312 20206 21364 30309 32046 40412 42728 60618 64092 70721 80824 121236 128184 141442 212163 242472 282884 424326 495047 565768 848652 990094 1101227 1485141 1697304 1980188 2202454 2970282 3303681 3960376 4404908 5940564 6607362 7708589 8809816 11881128 13214724 15417178 23125767 26429448 30834356 46251534 53960123 61668712 92503068 107920246 161880369 185006136 215840492 323760738 431680984 647521476 1295042952