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149296728 = 23372791607
BaseRepresentation
bin10001110011000…
…01011001011000
3101101221001121110
420321201121120
5301204443403
622451540320
73462000300
oct1071413130
9341831543
10149296728
1177301929
1241bba6a0
1324c13a79
1415b84600
15d191103
hex8e61658

149296728 has 96 divisors (see below), whose sum is σ = 439948800. Its totient is φ = 42090048.

The previous prime is 149296723. The next prime is 149296733. The reversal of 149296728 is 827692941.

It is an interprime number because it is at equal distance from previous prime (149296723) and next prime (149296733).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149296723) 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, 92101 + ... + 93707.

It is an arithmetic number, because the mean of its divisors is an integer number (4582800).

Almost surely, 2149296728 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 149296728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219974400).

149296728 is an abundant number, since it is smaller than the sum of its proper divisors (290652072).

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

149296728 is a wasteful number, since it uses less digits than its factorization.

149296728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1698 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 149296728 is about 12218.7040229314. The cubic root of 149296728 is about 530.4976078927.

The spelling of 149296728 in words is "one hundred forty-nine million, two hundred ninety-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 79 84 98 147 158 168 196 237 294 316 392 474 553 588 632 948 1106 1176 1607 1659 1896 2212 3214 3318 3871 4424 4821 6428 6636 7742 9642 11249 11613 12856 13272 15484 19284 22498 23226 30968 33747 38568 44996 46452 67494 78743 89992 92904 126953 134988 157486 236229 253906 269976 314972 380859 472458 507812 629944 761718 888671 944916 1015624 1523436 1777342 1889832 2666013 3046872 3554684 5332026 6220697 7109368 10664052 12441394 18662091 21328104 24882788 37324182 49765576 74648364 149296728