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149081856 = 2837112521
BaseRepresentation
bin10001110001011…
…00111100000000
3101101112010212020
420320230330000
5301131104411
622443201440
73460113660
oct1070547400
9341463766
10149081856
1177175450
1241b16280
1324b6a021
1415b2a1a0
15d14c606
hex8e2cf00

149081856 has 144 divisors (see below), whose sum is σ = 494876928. Its totient is φ = 38707200.

The previous prime is 149081827. The next prime is 149081879. The reversal of 149081856 is 658180941.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 57876 + ... + 60396.

Almost surely, 2149081856 is an apocalyptic number.

149081856 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 149081856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247438464).

149081856 is an abundant number, since it is smaller than the sum of its proper divisors (345795072).

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

149081856 is a wasteful number, since it uses less digits than its factorization.

149081856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 149081856 is about 12209.9081077623. The cubic root of 149081856 is about 530.2429833993.

The spelling of 149081856 in words is "one hundred forty-nine million, eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1848 2112 2464 2521 2688 2816 3696 4224 4928 5042 5376 7392 7563 8448 9856 10084 14784 15126 17647 19712 20168 27731 29568 30252 35294 40336 52941 55462 59136 60504 70588 80672 83193 105882 110924 121008 141176 161344 166386 194117 211764 221848 242016 282352 322688 332772 388234 423528 443696 484032 564704 582351 645376 665544 776468 847056 887392 968064 1129408 1164702 1331088 1552936 1694112 1774784 1936128 2258816 2329404 2662176 3105872 3388224 3549568 4517632 4658808 5324352 6211744 6776448 7099136 9317616 10648704 12423488 13552896 18635232 21297408 24846976 37270464 49693952 74540928 149081856