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149793816 = 23329373577
BaseRepresentation
bin10001110110110…
…10110000011000
3101102212022111010
420323122300120
5301321400231
622510333520
73466140444
oct1073326030
9342768433
10149793816
1177611347
12421ba2a0
13250590c3
1415c73824
15d23d546
hex8edac18

149793816 has 64 divisors (see below), whose sum is σ = 389109600. Its totient is φ = 47996928.

The previous prime is 149793803. The next prime is 149793821. The reversal of 149793816 is 618397941.

149793816 = T223 + T224 + ... + T968.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 259320 + ... + 259896.

Almost surely, 2149793816 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 149793816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194554800).

149793816 is an abundant number, since it is smaller than the sum of its proper divisors (239315784).

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

149793816 is a wasteful number, since it uses less digits than its factorization.

149793816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 984 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 149793816 is about 12239.0283928096. The cubic root of 149793816 is about 531.0857249676.

The spelling of 149793816 in words is "one hundred forty-nine million, seven hundred ninety-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 373 577 696 746 1119 1154 1492 1731 2238 2308 2984 3462 4476 4616 6924 8952 10817 13848 16733 21634 32451 33466 43268 50199 64902 66932 86536 100398 129804 133864 200796 215221 259608 401592 430442 645663 860884 1291326 1721768 2582652 5165304 6241409 12482818 18724227 24965636 37448454 49931272 74896908 149793816