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149002824 = 233171732111
BaseRepresentation
bin10001110000110…
…01101001001000
3101101101010110010
420320121221020
5301121042244
622441351520
73456334365
oct1070315110
9341333403
10149002824
1177121033
1241a985a0
1324b40069
1415b0946c
15d133eb9
hex8e19a48

149002824 has 64 divisors (see below), whose sum is σ = 396887040. Its totient is φ = 46453760.

The previous prime is 149002823. The next prime is 149002837. The reversal of 149002824 is 428200941.

It is a junction number, because it is equal to n+sod(n) for n = 149002791 and 149002800.

It is not an unprimeable number, because it can be changed into a prime (149002823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69529 + ... + 71639.

It is an arithmetic number, because the mean of its divisors is an integer number (6201360).

Almost surely, 2149002824 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 149002824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198443520).

149002824 is an abundant number, since it is smaller than the sum of its proper divisors (247884216).

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

149002824 is a wasteful number, since it uses less digits than its factorization.

149002824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 149002824 is about 12206.6712907328. The cubic root of 149002824 is about 530.1492685057.

The spelling of 149002824 in words is "one hundred forty-nine million, two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 173 204 346 408 519 692 1038 1384 2076 2111 2941 4152 4222 5882 6333 8444 8823 11764 12666 16888 17646 23528 25332 35292 35887 50664 70584 71774 107661 143548 215322 287096 365203 430644 730406 861288 1095609 1460812 2191218 2921624 4382436 6208451 8764872 12416902 18625353 24833804 37250706 49667608 74501412 149002824