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149652076 = 22722389373
BaseRepresentation
bin10001110101110…
…00001001101100
3101102121010001111
420322320021230
5301302331301
622503321404
73465010300
oct1072701154
9342533044
10149652076
1177524902
1242150264
1325009732
1415c37d00
15d211551
hex8eb826c

149652076 has 72 divisors (see below), whose sum is σ = 322328160. Its totient is φ = 60496128.

The previous prime is 149652073. The next prime is 149652079. The reversal of 149652076 is 670256941.

It is an interprime number because it is at equal distance from previous prime (149652073) and next prime (149652079).

It is a super-2 number, since 2×1496520762 = 44791487702219552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (149652073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401026 + ... + 401398.

It is an arithmetic number, because the mean of its divisors is an integer number (4476780).

Almost surely, 2149652076 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 149652076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161164080).

149652076 is an abundant number, since it is smaller than the sum of its proper divisors (172676084).

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

149652076 is a wasteful number, since it uses less digits than its factorization.

149652076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 149652076 is about 12233.2365300439. The cubic root of 149652076 is about 530.9181616505.

The spelling of 149652076 in words is "one hundred forty-nine million, six hundred fifty-two thousand, seventy-six".

Divisors: 1 2 4 7 14 23 28 46 49 89 92 98 161 178 196 322 356 373 623 644 746 1127 1246 1492 2047 2254 2492 2611 4094 4361 4508 5222 8188 8579 8722 10444 14329 17158 17444 18277 28658 33197 34316 36554 57316 60053 66394 73108 100303 120106 132788 200606 232379 240212 401212 420371 464758 763531 840742 929516 1527062 1626653 1681484 3054124 3253306 5344717 6506612 10689434 21378868 37413019 74826038 149652076