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152325312 = 2633112551
BaseRepresentation
bin10010001010001…
…00110011000000
3101121121221001020
421011010303000
5302443402222
623040505440
73526513056
oct1105046300
9347557036
10152325312
1178a90297
124301b280
1325734429
14163321d6
15d58d65c
hex9144cc0

152325312 has 56 divisors (see below), whose sum is σ = 404481792. Its totient is φ = 50592000.

The previous prime is 152325301. The next prime is 152325379. The reversal of 152325312 is 213523251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58437 + ... + 60987.

Almost surely, 2152325312 is an apocalyptic number.

152325312 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 152325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202240896).

152325312 is an abundant number, since it is smaller than the sum of its proper divisors (252156480).

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

152325312 is a wasteful number, since it uses less digits than its factorization.

152325312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2867 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 152325312 is about 12342.0140981932. The cubic root of 152325312 is about 534.0607878730.

Adding to 152325312 its reverse (213523251), we get a palindrome (365848563).

The spelling of 152325312 in words is "one hundred fifty-two million, three hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 311 622 933 1244 1866 2488 2551 3732 4976 5102 7464 7653 9952 10204 14928 15306 19904 20408 29856 30612 40816 59712 61224 81632 122448 163264 244896 489792 793361 1586722 2380083 3173444 4760166 6346888 9520332 12693776 19040664 25387552 38081328 50775104 76162656 152325312