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149429504 = 287611367
BaseRepresentation
bin10001110100000…
…01110100000000
3101102011210202002
420322001310000
5301223221004
622454443132
73463062350
oct1072016400
9342153662
10149429504
1177392664
12420634a8
1324c5c333
1415bbab60
15d1ba61e
hex8e81d00

149429504 has 72 divisors (see below), whose sum is σ = 346727808. Its totient is φ = 62945280.

The previous prime is 149429503. The next prime is 149429513. The reversal of 149429504 is 405924941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149429503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108629 + ... + 109995.

It is an arithmetic number, because the mean of its divisors is an integer number (4815664).

Almost surely, 2149429504 is an apocalyptic number.

149429504 is a gapful number since it is divisible by the number (14) 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 149429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173363904).

149429504 is an abundant number, since it is smaller than the sum of its proper divisors (197298304).

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

149429504 is an equidigital number, since it uses as much as digits as its factorization.

149429504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 149429504 is about 12224.1361248965. The cubic root of 149429504 is about 530.6548260730.

The spelling of 149429504 in words is "one hundred forty-nine million, four hundred twenty-nine thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 256 427 448 488 854 896 976 1367 1708 1792 1952 2734 3416 3904 5468 6832 7808 9569 10936 13664 15616 19138 21872 27328 38276 43744 54656 76552 83387 87488 109312 153104 166774 174976 306208 333548 349952 583709 612416 667096 1167418 1224832 1334192 2334836 2449664 2668384 4669672 5336768 9339344 10673536 18678688 21347072 37357376 74714752 149429504