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152252046 = 232831011009
BaseRepresentation
bin10010001001100…
…10111010001110
3101121111012112200
421010302322032
5302434031141
623035142330
73526056342
oct1104627216
9347435480
10152252046
1178a40241
1242ba49a6
1325709c8b
1416313622
15d576ab6
hex9132e8e

152252046 has 48 divisors (see below), whose sum is σ = 337493520. Its totient is φ = 49593600.

The previous prime is 152252027. The next prime is 152252047. The reversal of 152252046 is 640252251.

It is a super-2 number, since 2×1522520462 = 46361371022372232, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152252047) 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 23 ways as a sum of consecutive naturals, for example, 150390 + ... + 151398.

It is an arithmetic number, because the mean of its divisors is an integer number (7031115).

Almost surely, 2152252046 is an apocalyptic number.

152252046 is an abundant number, since it is smaller than the sum of its proper divisors (185241474).

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

152252046 is a wasteful number, since it uses less digits than its factorization.

152252046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 152252046 is about 12339.0455870784. The cubic root of 152252046 is about 533.9751492875.

It can be divided in two parts, 15225 and 2046, that added together give a palindrome (17271).

The spelling of 152252046 in words is "one hundred fifty-two million, two hundred fifty-two thousand, forty-six".

Divisors: 1 2 3 6 9 18 83 101 166 202 249 303 498 606 747 909 1009 1494 1818 2018 3027 6054 8383 9081 16766 18162 25149 50298 75447 83747 101909 150894 167494 203818 251241 305727 502482 611454 753723 917181 1507446 1834362 8458447 16916894 25375341 50750682 76126023 152252046