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149561972 = 22753971039
BaseRepresentation
bin10001110101000…
…10001001110100
3101102102112110022
420322202021310
5301241440342
622501344312
73464153510
oct1072421164
9342375408
10149561972
117747313a
1242108098
1324ca7711
1415c13140
15d1e49d2
hex8ea2274

149561972 has 48 divisors (see below), whose sum is σ = 308206080. Its totient is φ = 62180352.

The previous prime is 149561957. The next prime is 149561987. The reversal of 149561972 is 279165941.

It is an interprime number because it is at equal distance from previous prime (149561957) and next prime (149561987).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143429 + ... + 144467.

It is an arithmetic number, because the mean of its divisors is an integer number (6420960).

Almost surely, 2149561972 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 149561972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

149561972 is an abundant number, since it is smaller than the sum of its proper divisors (158644108).

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

149561972 is a wasteful number, since it uses less digits than its factorization.

149561972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1198 counting only the distinct ones).

The product of its digits is 136080, while the sum is 44.

The square root of 149561972 is about 12229.5532216022. The cubic root of 149561972 is about 530.8115867749.

The spelling of 149561972 in words is "one hundred forty-nine million, five hundred sixty-one thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 53 97 106 194 212 371 388 679 742 1039 1358 1484 2078 2716 4156 5141 7273 10282 14546 20564 29092 35987 55067 71974 100783 110134 143948 201566 220268 385469 403132 705481 770938 1410962 1541876 2821924 5341499 10682998 21365996 37390493 74780986 149561972