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149313424 = 241323359
BaseRepresentation
bin10001110011001…
…01011110010000
3101101221220111211
420321211132100
5301211012144
622452145504
73462100051
oct1071453620
9341856454
10149313424
1177313427
1242008294
1324c1b550
1415b8a728
15d196034
hex8e65790

149313424 has 80 divisors (see below), whose sum is σ = 331228800. Its totient is φ = 64800384.

The previous prime is 149313413. The next prime is 149313427. The reversal of 149313424 is 424313941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149313427) 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 15 ways as a sum of consecutive naturals, for example, 2530707 + ... + 2530765.

It is an arithmetic number, because the mean of its divisors is an integer number (4140360).

Almost surely, 2149313424 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 149313424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165614400).

149313424 is an abundant number, since it is smaller than the sum of its proper divisors (181915376).

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

149313424 is an equidigital number, since it uses as much as digits as its factorization.

149313424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 97 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 149313424 is about 12219.3872186784. The cubic root of 149313424 is about 530.5173825120.

The spelling of 149313424 in words is "one hundred forty-nine million, three hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 59 92 104 118 184 208 236 299 368 472 529 598 767 944 1058 1196 1357 1534 2116 2392 2714 3068 4232 4784 5428 6136 6877 8464 10856 12167 12272 13754 17641 21712 24334 27508 31211 35282 48668 55016 62422 70564 97336 110032 124844 141128 158171 194672 249688 282256 316342 405743 499376 632684 717853 811486 1265368 1435706 1622972 2530736 2871412 3245944 5742824 6491888 9332089 11485648 18664178 37328356 74656712 149313424