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149292752 = 2472415531
BaseRepresentation
bin10001110011000…
…00011011010000
3101101220212011012
420321200123100
5301204332002
622451510052
73461652560
oct1071403320
9341825135
10149292752
11772a9944
1241bb8328
1324c1200b
1415b82da0
15d18ed52
hex8e606d0

149292752 has 40 divisors (see below), whose sum is σ = 332008512. Its totient is φ = 63705600.

The previous prime is 149292733. The next prime is 149292761. The reversal of 149292752 is 257292941.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24227 + ... + 29757.

Almost surely, 2149292752 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 149292752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166004256).

149292752 is an abundant number, since it is smaller than the sum of its proper divisors (182715760).

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

149292752 is a wasteful number, since it uses less digits than its factorization.

149292752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5787 (or 5781 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 149292752 is about 12218.5413204687. The cubic root of 149292752 is about 530.4928985302.

The spelling of 149292752 in words is "one hundred forty-nine million, two hundred ninety-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 241 482 964 1687 1928 3374 3856 5531 6748 11062 13496 22124 26992 38717 44248 77434 88496 154868 309736 619472 1332971 2665942 5331884 9330797 10663768 18661594 21327536 37323188 74646376 149292752