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153152412 = 223743109389
BaseRepresentation
bin10010010000011…
…10101110011100
3101200011221121120
421020032232130
5303201334122
623110330540
73536526330
oct1110165634
9350157546
10153152412
11794a5746
1243359a50
1325963a3a
14164a97c0
15d6a375c
hex920eb9c

153152412 has 96 divisors (see below), whose sum is σ = 422822400. Its totient is φ = 42239232.

The previous prime is 153152411. The next prime is 153152413. The reversal of 153152412 is 214251351.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (153152411) and next prime (153152413).

It is a super-2 number, since 2×1531524122 = 46911322602835488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153152411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393514 + ... + 393902.

It is an arithmetic number, because the mean of its divisors is an integer number (4404400).

Almost surely, 2153152412 is an apocalyptic number.

153152412 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 153152412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211411200).

153152412 is an abundant number, since it is smaller than the sum of its proper divisors (269669988).

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

153152412 is a wasteful number, since it uses less digits than its factorization.

153152412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 553 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 153152412 is about 12375.4762332607. The cubic root of 153152412 is about 535.0256627280.

The spelling of 153152412 in words is "one hundred fifty-three million, one hundred fifty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 109 129 172 218 258 301 327 389 436 516 602 654 763 778 903 1167 1204 1308 1526 1556 1806 2289 2334 2723 3052 3612 4578 4668 4687 5446 8169 9156 9374 10892 14061 16338 16727 18748 28122 32676 32809 33454 42401 50181 56244 65618 66908 84802 98427 100362 117089 127203 131236 169604 196854 200724 234178 254406 296807 351267 393708 468356 508812 593614 702534 890421 1187228 1405068 1780842 1823243 3561684 3646486 5469729 7292972 10939458 12762701 21878916 25525402 38288103 51050804 76576206 153152412