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149073984 = 2632258809
BaseRepresentation
bin10001110001010…
…11000001000000
3101101111202001200
420320223001000
5301130331414
622443101200
73460052013
oct1070530100
9341452050
10149073984
117716a544
1241b11800
1324b66577
1415b2737a
15d14a109
hex8e2b040

149073984 has 42 divisors (see below), whose sum is σ = 427295310. Its totient is φ = 49691136.

The previous prime is 149073979. The next prime is 149074033. The reversal of 149073984 is 489370941.

149073984 is a `hidden beast` number, since 1 + 490 + 73 + 98 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105513984 + 43560000 = 10272^2 + 6600^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128829 + ... + 129980.

Almost surely, 2149073984 is an apocalyptic number.

It is an amenable number.

149073984 is an abundant number, since it is smaller than the sum of its proper divisors (278221326).

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

149073984 is a wasteful number, since it uses less digits than its factorization.

149073984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258827 (or 258814 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 149073984 is about 12209.5857423583. The cubic root of 149073984 is about 530.2336503918.

The spelling of 149073984 in words is "one hundred forty-nine million, seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 258809 517618 776427 1035236 1552854 2070472 2329281 3105708 4140944 4658562 6211416 8281888 9317124 12422832 16563776 18634248 24845664 37268496 49691328 74536992 149073984