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149075784 = 2332111314479
BaseRepresentation
bin10001110001010…
…11011101001000
3101101111211112100
420320223131020
5301130411114
622443113400
73460060164
oct1070533510
9341454470
10149075784
1177170930
1241b12860
1324b67330
1415b27ca4
15d14a909
hex8e2b748

149075784 has 96 divisors (see below), whose sum is σ = 474364800. Its totient is φ = 41696640.

The previous prime is 149075777. The next prime is 149075813. The reversal of 149075784 is 487570941.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3057 + ... + 17535.

It is an arithmetic number, because the mean of its divisors is an integer number (4941300).

Almost surely, 2149075784 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 149075784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237182400).

149075784 is an abundant number, since it is smaller than the sum of its proper divisors (325289016).

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

149075784 is a wasteful number, since it uses less digits than its factorization.

149075784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14515 (or 14508 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 149075784 is about 12209.6594547104. The cubic root of 149075784 is about 530.2357844926.

It can be divided in two parts, 1490757 and 84, that added together give a square (1490841 = 12212).

The spelling of 149075784 in words is "one hundred forty-nine million, seventy-five thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 14479 28958 43437 57916 86874 115832 130311 159269 173748 188227 260622 318538 347496 376454 477807 521244 564681 637076 752908 955614 1042488 1129362 1274152 1433421 1505816 1694043 1911228 2070497 2258724 2866842 3388086 3822456 4140994 4517448 5733684 6211491 6776172 8281988 11467368 12422982 13552344 16563976 18634473 24845964 37268946 49691928 74537892 149075784