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149749968 = 24329179601
BaseRepresentation
bin10001110110100…
…00000011010000
3101102210002100010
420323100003100
5301313444333
622505354520
73465565554
oct1073200320
9342702303
10149749968
1177591405
1242198a40
1325042164
1415c61864
15d230563
hex8ed00d0

149749968 has 80 divisors (see below), whose sum is σ = 403099200. Its totient is φ = 47846400.

The previous prime is 149749927. The next prime is 149749969. The reversal of 149749968 is 869947941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149749969) 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, 248868 + ... + 249468.

It is an arithmetic number, because the mean of its divisors is an integer number (5038740).

Almost surely, 2149749968 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 149749968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201549600).

149749968 is an abundant number, since it is smaller than the sum of its proper divisors (253349232).

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

149749968 is a wasteful number, since it uses less digits than its factorization.

149749968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The square root of 149749968 is about 12237.2369430358. The cubic root of 149749968 is about 531.0338996874.

It can be divided in two parts, 14974 and 9968, that added together give a palindrome (24942).

The spelling of 149749968 in words is "one hundred forty-nine million, seven hundred forty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 179 232 348 358 464 537 601 696 716 1074 1202 1392 1432 1803 2148 2404 2864 3606 4296 4808 5191 7212 8592 9616 10382 14424 15573 17429 20764 28848 31146 34858 41528 52287 62292 69716 83056 104574 107579 124584 139432 209148 215158 249168 278864 322737 418296 430316 645474 836592 860632 1290948 1721264 2581896 3119791 5163792 6239582 9359373 12479164 18718746 24958328 37437492 49916656 74874984 149749968