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952134144 = 29313411163
BaseRepresentation
bin111000110000000…
…110101000000000
32110100121102111120
4320300012220000
53422221243034
6234251312240
732411002203
oct7060065000
92410542446
10952134144
11449500525
12226a4b680
1312234b2b0
149064b93a
15588c8c49
hex38c06a00

952134144 has 160 divisors (see below), whose sum is σ = 2800695744. Its totient is φ = 285573120.

The previous prime is 952134143. The next prime is 952134173. The reversal of 952134144 is 441431259.

It is a super-2 number, since 2×9521341442 = 1813118856341225472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (952134143) 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, 818107 + ... + 819269.

Almost surely, 2952134144 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 952134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400347872).

952134144 is an abundant number, since it is smaller than the sum of its proper divisors (1848561600).

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

952134144 is a wasteful number, since it uses less digits than its factorization.

952134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1222 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 952134144 is about 30856.6709805189. The cubic root of 952134144 is about 983.7831500470.

The spelling of 952134144 in words is "nine hundred fifty-two million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 128 156 164 192 208 246 256 312 328 384 416 492 512 533 624 656 768 832 984 1066 1163 1248 1312 1536 1599 1664 1968 2132 2326 2496 2624 3198 3328 3489 3936 4264 4652 4992 5248 6396 6656 6978 7872 8528 9304 9984 10496 12792 13956 15119 15744 17056 18608 19968 20992 25584 27912 30238 31488 34112 37216 45357 47683 51168 55824 60476 62976 68224 74432 90714 95366 102336 111648 120952 136448 143049 148864 181428 190732 204672 223296 241904 272896 286098 297728 362856 381464 409344 446592 483808 572196 595456 619879 725712 762928 818688 893184 967616 1144392 1239758 1451424 1525856 1786368 1859637 1935232 2288784 2479516 2902848 3051712 3719274 3870464 4577568 4959032 5805696 6103424 7438548 7740928 9155136 9918064 11611392 12206848 14877096 18310272 19836128 23222784 24413696 29754192 36620544 39672256 59508384 73241088 79344512 119016768 158689024 238033536 317378048 476067072 952134144