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149195312 = 2473197443
BaseRepresentation
bin10001110010010…
…00101000110000
3101101201220111022
420321020220300
5301143222222
622445435012
73461065520
oct1071105060
9341656438
10149195312
1177242712
1241b6ba68
1324ba9866
1415b59680
15d171042
hex8e48a30

149195312 has 80 divisors (see below), whose sum is σ = 345311232. Its totient is φ = 61102080.

The previous prime is 149195311. The next prime is 149195317. The reversal of 149195312 is 213591941.

It is a happy number.

It is a super-2 number, since 2×1491953122 = 44518482245554688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149195311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336563 + ... + 337005.

Almost surely, 2149195312 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 149195312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172655616).

149195312 is an abundant number, since it is smaller than the sum of its proper divisors (196115920).

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

149195312 is a wasteful number, since it uses less digits than its factorization.

149195312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 580 counting only the distinct ones).

The product of its digits is 9720, while the sum is 35.

The square root of 149195312 is about 12214.5532869606. The cubic root of 149195312 is about 530.3774598428.

The spelling of 149195312 in words is "one hundred forty-nine million, one hundred ninety-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 97 112 124 194 217 248 388 434 443 496 679 776 868 886 1358 1552 1736 1772 2716 3007 3101 3472 3544 5432 6014 6202 7088 10864 12028 12404 13733 21049 24056 24808 27466 42098 42971 48112 49616 54932 84196 85942 96131 109864 168392 171884 192262 219728 300797 336784 343768 384524 601594 687536 769048 1203188 1332101 1538096 2406376 2664202 4812752 5328404 9324707 10656808 18649414 21313616 37298828 74597656 149195312