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151486864 = 241721812
BaseRepresentation
bin10010000011110…
…00000110010000
3101120001022220121
421001320012100
5302240034424
623010520024
73516421444
oct1101700620
9346038817
10151486864
1178568361
1242896014
13254cc8c9
1416194824
15d474ee4
hex9078190

151486864 has 45 divisors (see below), whose sum is σ = 313518531. Its totient is φ = 70894080.

The previous prime is 151486823. The next prime is 151486873. The reversal of 151486864 is 468684151.

The square root of 151486864 is 12308.

It is a perfect power (a square), and thus also a powerful number.

151486864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21344400 + 130142464 = 4620^2 + 11408^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 151486864.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 836854 + ... + 837034.

Almost surely, 2151486864 is an apocalyptic number.

151486864 is the 12308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151486864

151486864 is an abundant number, since it is smaller than the sum of its proper divisors (162031667).

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

151486864 is an equidigital number, since it uses as much as digits as its factorization.

151486864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 200 counting only the distinct ones).

The product of its digits is 184320, while the sum is 43.

The cubic root of 151486864 is about 533.0791031380.

The spelling of 151486864 in words is "one hundred fifty-one million, four hundred eighty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 181 272 289 362 578 724 1156 1448 2312 2896 3077 4624 6154 12308 24616 32761 49232 52309 65522 104618 131044 209236 262088 418472 524176 556937 836944 1113874 2227748 4455496 8910992 9467929 18935858 37871716 75743432 151486864