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152989152 = 25329179307
BaseRepresentation
bin10010001111001…
…10110111100000
3101122212122122220
421013212313200
5303131123102
623103031040
73535246341
oct1107466740
9348778586
10152989152
11793a4018
124329b480
1325907634
14164660c8
15d6701bc
hex91e6de0

152989152 has 96 divisors (see below), whose sum is σ = 419126400. Its totient is φ = 48803328.

The previous prime is 152989129. The next prime is 152989189. The reversal of 152989152 is 251989251.

152989152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 498183 + ... + 498489.

It is an arithmetic number, because the mean of its divisors is an integer number (4365900).

Almost surely, 2152989152 is an apocalyptic number.

152989152 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 152989152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209563200).

152989152 is an abundant number, since it is smaller than the sum of its proper divisors (266137248).

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

152989152 is a wasteful number, since it uses less digits than its factorization.

152989152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its digits is 64800, while the sum is 42.

The square root of 152989152 is about 12368.8783646699. The cubic root of 152989152 is about 534.8354832316.

Subtracting 152989152 from its reverse (251989251), we obtain a palindrome (99000099).

The spelling of 152989152 in words is "one hundred fifty-two million, nine hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 179 232 307 348 358 464 537 614 696 716 921 928 1074 1228 1392 1432 1842 2148 2456 2784 2864 3684 4296 4912 5191 5728 7368 8592 8903 9824 10382 14736 15573 17184 17806 20764 26709 29472 31146 35612 41528 53418 54953 62292 71224 83056 106836 109906 124584 142448 164859 166112 213672 219812 249168 284896 329718 427344 439624 498336 659436 854688 879248 1318872 1593637 1758496 2637744 3187274 4780911 5275488 6374548 9561822 12749096 19123644 25498192 38247288 50996384 76494576 152989152