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152267128 = 23134379431
BaseRepresentation
bin10010001001101…
…10100101111000
3101121111222020021
421010312211320
5302440022003
623035340224
73526151326
oct1104664570
9347458207
10152267128
1178a50602
1242bb1674
1325713ac0
1416318d16
15d57b2bd
hex9136978

152267128 has 64 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 67616640.

The previous prime is 152267117. The next prime is 152267149. The reversal of 152267128 is 821762251.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 152267093 and 152267102.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 353073 + ... + 353503.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2152267128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152267128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

152267128 is an abundant number, since it is smaller than the sum of its proper divisors (167067272).

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

152267128 is a wasteful number, since it uses less digits than its factorization.

152267128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 568 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 152267128 is about 12339.6567213193. The cubic root of 152267128 is about 533.9927804623.

The spelling of 152267128 in words is "one hundred fifty-two million, two hundred sixty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 26 43 52 79 86 104 158 172 316 344 431 559 632 862 1027 1118 1724 2054 2236 3397 3448 4108 4472 5603 6794 8216 11206 13588 18533 22412 27176 34049 37066 44161 44824 68098 74132 88322 136196 148264 176644 240929 272392 353288 442637 481858 885274 963716 1464107 1770548 1927432 2928214 3541096 5856428 11712856 19033391 38066782 76133564 152267128