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153272352 = 2533743151
BaseRepresentation
bin10010010001011…
…00000000100000
3101200102001010210
421020230000200
5303214203402
623113054120
73540536112
oct1110540040
9350361123
10153272352
1179577872
12433b7340
13259a64cc
14164db3b2
15d6c906c
hex922c020

153272352 has 48 divisors (see below), whose sum is σ = 413223552. Its totient is φ = 49708800.

The previous prime is 153272351. The next prime is 153272377. The reversal of 153272352 is 253272351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1532723522 = 46984827775223808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (153272351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18024 + ... + 25127.

It is an arithmetic number, because the mean of its divisors is an integer number (8608824).

Almost surely, 2153272352 is an apocalyptic number.

153272352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153272352 is an abundant number, since it is smaller than the sum of its proper divisors (259951200).

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

153272352 is a wasteful number, since it uses less digits than its factorization.

153272352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43201 (or 43193 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 153272352 is about 12380.3211590007. The cubic root of 153272352 is about 535.1652932063.

Subtracting 153272352 from its reverse (253272351), we obtain a palindrome (99999999).

The spelling of 153272352 in words is "one hundred fifty-three million, two hundred seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 43151 86302 129453 172604 258906 345208 517812 690416 1035624 1380832 1596587 2071248 3193174 4142496 4789761 6386348 9579522 12772696 19159044 25545392 38318088 51090784 76636176 153272352