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149658816 = 2633072539
BaseRepresentation
bin10001110101110…
…01110011000000
3101102121110022010
420322321303000
5301303040231
622503412520
73465036036
oct1072716300
9342543263
10149658816
117752997a
1242154140
132500c818
1415c3a556
15d213546
hex8eb9cc0

149658816 has 56 divisors (see below), whose sum is σ = 397418560. Its totient is φ = 49704192.

The previous prime is 149658811. The next prime is 149658823. The reversal of 149658816 is 618856941.

It is a super-2 number, since 2×1496588162 = 44795522413043712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (149658811) 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 7 ways as a sum of consecutive naturals, for example, 57675 + ... + 60213.

It is an arithmetic number, because the mean of its divisors is an integer number (7096760).

Almost surely, 2149658816 is an apocalyptic number.

149658816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149658816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198709280).

149658816 is an abundant number, since it is smaller than the sum of its proper divisors (247759744).

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

149658816 is a wasteful number, since it uses less digits than its factorization.

149658816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2861 (or 2851 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 149658816 is about 12233.5120059613. The cubic root of 149658816 is about 530.9261319925.

The spelling of 149658816 in words is "one hundred forty-nine million, six hundred fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 307 614 921 1228 1842 2456 2539 3684 4912 5078 7368 7617 9824 10156 14736 15234 19648 20312 29472 30468 40624 58944 60936 81248 121872 162496 243744 487488 779473 1558946 2338419 3117892 4676838 6235784 9353676 12471568 18707352 24943136 37414704 49886272 74829408 149658816