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152464896 = 293341269
BaseRepresentation
bin10010001011001…
…10111000000000
3101121220000112000
421011212320000
5303012334041
623043504000
73530634033
oct1105467000
9347800460
10152464896
1179076151
1243088000
1325782b1c
141636b01a
15d5b9bb6
hex9166e00

152464896 has 160 divisors (see below), whose sum is σ = 464032800. Its totient is φ = 49397760.

The previous prime is 152464883. The next prime is 152464927. The reversal of 152464896 is 698464251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566650 + ... + 566918.

It is an arithmetic number, because the mean of its divisors is an integer number (2900205).

Almost surely, 2152464896 is an apocalyptic number.

152464896 is a gapful number since it is divisible by the number (16) 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 152464896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232016400).

152464896 is an abundant number, since it is smaller than the sum of its proper divisors (311567904).

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

152464896 is an equidigital number, since it uses as much as digits as its factorization.

152464896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 315 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 152464896 is about 12347.6676340109. The cubic root of 152464896 is about 534.2238677563.

The spelling of 152464896 in words is "one hundred fifty-two million, four hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 256 269 288 328 369 384 432 492 512 538 576 656 738 768 807 864 984 1076 1107 1152 1312 1476 1536 1614 1728 1968 2152 2214 2304 2421 2624 2952 3228 3456 3936 4304 4428 4608 4842 5248 5904 6456 6912 7263 7872 8608 8856 9684 10496 11029 11808 12912 13824 14526 15744 17216 17712 19368 20992 22058 23616 25824 29052 31488 33087 34432 35424 38736 44116 47232 51648 58104 62976 66174 68864 70848 77472 88232 94464 99261 103296 116208 132348 137728 141696 154944 176464 188928 198522 206592 232416 264696 283392 297783 309888 352928 397044 413184 464832 529392 566784 595566 619776 705856 794088 929664 1058784 1191132 1239552 1411712 1588176 1859328 2117568 2382264 2823424 3176352 3718656 4235136 4764528 5646848 6352704 8470272 9529056 12705408 16940544 19058112 25410816 38116224 50821632 76232448 152464896