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149054256 = 243613983
BaseRepresentation
bin10001110001001…
…10001100110000
3101101110202000000
420320212030300
5301124214011
622442430000
73456640341
oct1070461460
9341422000
10149054256
117715673a
1241b02300
1324b5a5b0
1415b200c8
15d144356
hex8e26330

149054256 has 140 divisors (see below), whose sum is σ = 466772208. Its totient is φ = 45816192.

The previous prime is 149054239. The next prime is 149054261. The reversal of 149054256 is 652450941.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 149054256.

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 27 ways as a sum of consecutive naturals, for example, 151141 + ... + 152123.

Almost surely, 2149054256 is an apocalyptic number.

149054256 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 149054256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233386104).

149054256 is an abundant number, since it is smaller than the sum of its proper divisors (317717952).

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

149054256 is an equidigital number, since it uses as much as digits as its factorization.

149054256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 149054256 is about 12208.7778258104. Note that the first 3 decimals coincide. The cubic root of 149054256 is about 530.2102595209.

The spelling of 149054256 in words is "one hundred forty-nine million, fifty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 729 936 972 983 1053 1296 1404 1458 1872 1944 1966 2106 2808 2916 2949 3159 3888 3932 4212 5616 5832 5898 6318 7864 8424 8847 9477 11664 11796 12636 12779 15728 16848 17694 18954 23592 25272 25558 26541 35388 37908 38337 47184 50544 51116 53082 70776 75816 76674 79623 102232 106164 115011 141552 151632 153348 159246 204464 212328 230022 238869 306696 318492 345033 424656 460044 477738 613392 636984 690066 716607 920088 955476 1035099 1273968 1380132 1433214 1840176 1910952 2070198 2760264 2866428 3105297 3821904 4140396 5520528 5732856 6210594 8280792 9315891 11465712 12421188 16561584 18631782 24842376 37263564 49684752 74527128 149054256