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149497056 = 2533237523
BaseRepresentation
bin10001110100100…
…10010011100000
3101102022020102000
420322102103200
5301232401211
622500124000
73463463322
oct1072222340
9342266360
10149497056
1177429395
1242096600
1324c83cc7
1415bd7612
15d1d0656
hex8e924e0

149497056 has 96 divisors (see below), whose sum is σ = 455051520. Its totient is φ = 47659392.

The previous prime is 149497043. The next prime is 149497063. The reversal of 149497056 is 650794941.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 16111 + ... + 23633.

It is an arithmetic number, because the mean of its divisors is an integer number (4740120).

Almost surely, 2149497056 is an apocalyptic number.

149497056 is a gapful number since it is divisible by the number (16) 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 149497056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227525760).

149497056 is an abundant number, since it is smaller than the sum of its proper divisors (305554464).

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

149497056 is a wasteful number, since it uses less digits than its factorization.

149497056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7565 (or 7551 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 149497056 is about 12226.8988709321. The cubic root of 149497056 is about 530.7347776968.

The spelling of 149497056 in words is "one hundred forty-nine million, four hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2208 2484 3312 4968 6624 7523 9936 15046 19872 22569 30092 45138 60184 67707 90276 120368 135414 173029 180552 203121 240736 270828 346058 361104 406242 519087 541656 692116 722208 812484 1038174 1083312 1384232 1557261 1624968 2076348 2166624 2768464 3114522 3249936 4152696 4671783 5536928 6229044 6499872 8305392 9343566 12458088 16610784 18687132 24916176 37374264 49832352 74748528 149497056