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149947974 = 232113172389
BaseRepresentation
bin10001111000000…
…00011001000110
3101110011010221200
420330000121012
5301341313344
622513523330
73500352051
oct1074003106
9343133850
10149947974
1177707150
1242273546
13250b1317
1415cb3a98
15d26e069
hex8f00646

149947974 has 48 divisors (see below), whose sum is σ = 355689360. Its totient is φ = 45276480.

The previous prime is 149947957. The next prime is 149947979. The reversal of 149947974 is 479749941.

149947974 is a `hidden beast` number, since 14 + 99 + 479 + 74 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 149947974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149947979) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61572 + ... + 63960.

It is an arithmetic number, because the mean of its divisors is an integer number (7410195).

Almost surely, 2149947974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149947974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177844680).

149947974 is an abundant number, since it is smaller than the sum of its proper divisors (205741386).

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

149947974 is a wasteful number, since it uses less digits than its factorization.

149947974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2722 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 149947974 is about 12245.3245771601. The cubic root of 149947974 is about 531.2678487383.

The spelling of 149947974 in words is "one hundred forty-nine million, nine hundred forty-seven thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 317 634 951 1902 2389 2853 3487 4778 5706 6974 7167 10461 14334 20922 21501 26279 31383 43002 52558 62766 78837 157674 236511 473022 757313 1514626 2271939 4543878 6815817 8330443 13631634 16660886 24991329 49982658 74973987 149947974