Search a number
-
+
149946752 = 272331253
BaseRepresentation
bin10001111000000…
…00000110000000
3101110011002021102
420330000012000
5301341244002
622513513532
73500345354
oct1074000600
9343132242
10149946752
117770623a
12422728a8
13250b08b7
1415cb3464
15d26da02
hex8f00180

149946752 has 96 divisors (see below), whose sum is σ = 328166640. Its totient is φ = 68090880.

The previous prime is 149946751. The next prime is 149946773. The reversal of 149946752 is 257649941.

It is a junction number, because it is equal to n+sod(n) for n = 149946697 and 149946706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149946751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2829158 + ... + 2829210.

Almost surely, 2149946752 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 149946752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164083320).

149946752 is an abundant number, since it is smaller than the sum of its proper divisors (178219888).

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

149946752 is an equidigital number, since it uses as much as digits as its factorization.

149946752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 109 counting only the distinct ones).

The product of its digits is 544320, while the sum is 47.

The square root of 149946752 is about 12245.2746804635. The cubic root of 149946752 is about 531.2664055464.

The spelling of 149946752 in words is "one hundred forty-nine million, nine hundred forty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 23 31 32 46 53 62 64 92 106 124 128 184 212 248 368 424 496 713 736 848 961 992 1219 1426 1472 1643 1696 1922 1984 2438 2852 2944 3286 3392 3844 3968 4876 5704 6572 6784 7688 9752 11408 13144 15376 19504 22103 22816 26288 30752 37789 39008 44206 45632 50933 52576 61504 75578 78016 88412 91264 101866 105152 123008 151156 156032 176824 203732 210304 302312 353648 407464 604624 707296 814928 1171459 1209248 1414592 1629856 2342918 2418496 2829184 3259712 4685836 4836992 6519424 9371672 18743344 37486688 74973376 149946752