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149653272 = 23319223751
BaseRepresentation
bin10001110101110…
…00011100011000
3101102121011200210
420322320130120
5301302401042
622503331120
73465013626
oct1072703430
9342534623
10149653272
117752579a
1242150aa0
132500a142
1415c38516
15d211a9c
hex8eb8718

149653272 has 96 divisors (see below), whose sum is σ = 412577280. Its totient is φ = 45144000.

The previous prime is 149653247. The next prime is 149653289. The reversal of 149653272 is 272356941.

It is a super-2 number, since 2×1496532722 = 44792203640611968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 149653272.

It is a congruent number.

It is an unprimeable number.

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, 198897 + ... + 199647.

It is an arithmetic number, because the mean of its divisors is an integer number (4297680).

Almost surely, 2149653272 is an apocalyptic number.

149653272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149653272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206288640).

149653272 is an abundant number, since it is smaller than the sum of its proper divisors (262924008).

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

149653272 is a wasteful number, since it uses less digits than its factorization.

149653272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 798 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 149653272 is about 12233.2854131668. The cubic root of 149653272 is about 530.9195759898.

The spelling of 149653272 in words is "one hundred forty-nine million, six hundred fifty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 361 437 456 552 722 751 874 1083 1311 1444 1502 1748 2166 2253 2622 2888 3004 3496 4332 4506 5244 6008 8303 8664 9012 10488 14269 16606 17273 18024 24909 28538 33212 34546 42807 49818 51819 57076 66424 69092 85614 99636 103638 114152 138184 171228 199272 207276 271111 328187 342456 414552 542222 656374 813333 984561 1084444 1312748 1626666 1969122 2168888 2625496 3253332 3938244 6235553 6506664 7876488 12471106 18706659 24942212 37413318 49884424 74826636 149653272