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152027512 = 237131929379
BaseRepresentation
bin10010000111111…
…00000101111000
3101121001210112121
421003330011320
5302404340022
623030251024
73524132620
oct1103740570
9347053477
10152027512
11788a757a
1242ab6a74
132565ba10
1416295880
15d5302c7
hex90fc178

152027512 has 128 divisors (see below), whose sum is σ = 383040000. Its totient is φ = 54867456.

The previous prime is 152027501. The next prime is 152027527. The reversal of 152027512 is 215720251.

It is a super-2 number, since 2×1520275122 = 46224728809820288, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 400939 + ... + 401317.

It is an arithmetic number, because the mean of its divisors is an integer number (2992500).

Almost surely, 2152027512 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 152027512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191520000).

152027512 is an abundant number, since it is smaller than the sum of its proper divisors (231012488).

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

152027512 is a wasteful number, since it uses less digits than its factorization.

152027512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 152027512 is about 12329.9437143890. The cubic root of 152027512 is about 533.7125265152.

Adding to 152027512 its reverse (215720251), we get a palindrome (367747763).

The spelling of 152027512 in words is "one hundred fifty-two million, twenty-seven thousand, five hundred twelve".

Divisors: 1 2 4 7 8 13 14 19 26 28 29 38 52 56 58 76 91 104 116 133 152 182 203 232 247 266 364 377 379 406 494 532 551 728 754 758 812 988 1064 1102 1508 1516 1624 1729 1976 2204 2639 2653 3016 3032 3458 3857 4408 4927 5278 5306 6916 7163 7201 7714 9854 10556 10612 10991 13832 14326 14402 15428 19708 21112 21224 21982 28652 28804 30856 34489 39416 43964 50141 50407 57304 57608 68978 76937 87928 93613 100282 100814 137956 142883 153874 187226 200564 201628 208829 275912 285766 307748 374452 401128 403256 417658 571532 615496 655291 748904 835316 1000181 1143064 1310582 1461803 1670632 2000362 2621164 2714777 2923606 4000724 5242328 5429554 5847212 8001448 10859108 11694424 19003439 21718216 38006878 76013756 152027512