Search a number
-
+
149658984 = 23327732689
BaseRepresentation
bin10001110101110…
…01110101101000
3101102121110112100
420322321311220
5301303041414
622503413400
73465036366
oct1072716550
9342543470
10149658984
117752a012
1242154260
132500c917
1415c3a636
15d213609
hex8eb9d68

149658984 has 48 divisors (see below), whose sum is σ = 406001700. Its totient is φ = 49803264.

The previous prime is 149658967. The next prime is 149658989. The reversal of 149658984 is 489856941.

It can be written as a sum of positive squares in 2 ways, for example, as 107122500 + 42536484 = 10350^2 + 6522^2 .

It is a super-2 number, since 2×1496589842 = 44795622983824512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 149658984.

It is not an unprimeable number, because it can be changed into a prime (149658989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54312 + ... + 57000.

Almost surely, 2149658984 is an apocalyptic number.

It is an amenable number.

149658984 is an abundant number, since it is smaller than the sum of its proper divisors (256342716).

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

149658984 is a wasteful number, since it uses less digits than its factorization.

149658984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3467 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 149658984 is about 12233.5188723441. The cubic root of 149658984 is about 530.9263306567.

The spelling of 149658984 in words is "one hundred forty-nine million, six hundred fifty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 773 1546 2319 2689 3092 4638 5378 6184 6957 8067 9276 10756 13914 16134 18552 21512 24201 27828 32268 48402 55656 64536 96804 193608 2078597 4157194 6235791 8314388 12471582 16628776 18707373 24943164 37414746 49886328 74829492 149658984