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149968384 = 29833529
BaseRepresentation
bin10001111000001…
…01011000000000
3101110012011221121
420330011120000
5301342442014
622514202024
73500465416
oct1074053000
9343164847
10149968384
1177720515
1242283314
13250ba6b7
1415cbb2b6
15d275124
hex8f05600

149968384 has 40 divisors (see below), whose sum is σ = 303339960. Its totient is φ = 74059776.

The previous prime is 149968381. The next prime is 149968393. The reversal of 149968384 is 483869941.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149968381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40732 + ... + 44260.

It is an arithmetic number, because the mean of its divisors is an integer number (7583499).

Almost surely, 2149968384 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 149968384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151669980).

149968384 is an abundant number, since it is smaller than the sum of its proper divisors (153371576).

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

149968384 is an frugal number, since it uses more digits than its factorization.

149968384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630 (or 3614 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The square root of 149968384 is about 12246.1579281014. The cubic root of 149968384 is about 531.2919519535.

The spelling of 149968384 in words is "one hundred forty-nine million, nine hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 512 664 1328 2656 3529 5312 7058 10624 14116 21248 28232 42496 56464 112928 225856 292907 451712 585814 903424 1171628 1806848 2343256 4686512 9373024 18746048 37492096 74984192 149968384