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149748264 = 23310317
BaseRepresentation
bin10001110110011…
…11101000101000
3101102210000000000
420323033220220
5301313421024
622505343000
73465560601
oct1073175050
9342700000
10149748264
11775900a6
1242197a60
1325041453
1415c60da8
15d22ecc9
hex8ecfa28

149748264 has 88 divisors (see below), whose sum is σ = 422493210. Its totient is φ = 49758624.

The previous prime is 149748241. The next prime is 149748299. The reversal of 149748264 is 462847941.

149748264 is digitally balanced in base 2, 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 only one way, i.e., 147622500 + 2125764 = 12150^2 + 1458^2 .

It is a super-4 number, since 4×1497482644 (a number of 34 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 472234 + ... + 472550.

Almost surely, 2149748264 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 149748264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211246605).

149748264 is an abundant number, since it is smaller than the sum of its proper divisors (272744946).

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

149748264 is an frugal number, since it uses more digits than its factorization.

149748264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 322 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 149748264 is about 12237.1673192778. The cubic root of 149748264 is about 531.0318854740.

The spelling of 149748264 in words is "one hundred forty-nine million, seven hundred forty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 317 324 486 634 648 729 951 972 1268 1458 1902 1944 2187 2536 2853 2916 3804 4374 5706 5832 6561 7608 8559 8748 11412 13122 17118 17496 19683 22824 25677 26244 34236 39366 51354 52488 59049 68472 77031 78732 102708 118098 154062 157464 205416 231093 236196 308124 462186 472392 616248 693279 924372 1386558 1848744 2079837 2773116 4159674 5546232 6239511 8319348 12479022 16638696 18718533 24958044 37437066 49916088 74874132 149748264