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149388642 = 232131095857
BaseRepresentation
bin10001110011101…
…11110101100010
3101102002201200200
420321313311202
5301220414032
622453530030
73462532254
oct1071676542
9342081620
10149388642
1177364997
1242043916
1324c46860
1415ba9cd4
15d1ad47c
hex8e77d62

149388642 has 48 divisors (see below), whose sum is σ = 351831480. Its totient is φ = 45536256.

The previous prime is 149388563. The next prime is 149388643. The reversal of 149388642 is 246883941.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 142778601 + 6610041 = 11949^2 + 2571^2 .

It is not an unprimeable number, because it can be changed into a prime (149388643) 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, 22578 + ... + 28434.

Almost surely, 2149388642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149388642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175915740).

149388642 is an abundant number, since it is smaller than the sum of its proper divisors (202442838).

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

149388642 is a wasteful number, since it uses less digits than its factorization.

149388642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5987 (or 5984 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 149388642 is about 12222.4646450706. The cubic root of 149388642 is about 530.6064518815.

The spelling of 149388642 in words is "one hundred forty-nine million, three hundred eighty-eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 109 117 218 234 327 654 981 1417 1962 2834 4251 5857 8502 11714 12753 17571 25506 35142 52713 76141 105426 152282 228423 456846 638413 685269 1276826 1370538 1915239 3830478 5745717 8299369 11491434 16598738 24898107 49796214 74694321 149388642