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149461272 = 2332532739
BaseRepresentation
bin10001110100010…
…01100100011000
3101102020102022200
420322021210120
5301230230042
622455250200
73463254102
oct1072114430
9342212280
10149461272
1177404514
1242079960
1324c7092c
1415bc8572
15d1c4c4c
hex8e89918

149461272 has 72 divisors (see below), whose sum is σ = 413130900. Its totient is φ = 48814272.

The previous prime is 149461253. The next prime is 149461283. The reversal of 149461272 is 272164941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 201879 + ... + 202617.

Almost surely, 2149461272 is an apocalyptic number.

149461272 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 149461272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206565450).

149461272 is an abundant number, since it is smaller than the sum of its proper divisors (263669628).

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

149461272 is a wasteful number, since it uses less digits than its factorization.

149461272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 797 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 149461272 is about 12225.4354523673. The cubic root of 149461272 is about 530.6924283036.

The spelling of 149461272 in words is "one hundred forty-nine million, four hundred sixty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 739 954 1272 1478 1908 2217 2809 2956 3816 4434 5618 5912 6651 8427 8868 11236 13302 16854 17736 22472 25281 26604 33708 39167 50562 53208 67416 78334 101124 117501 156668 202248 235002 313336 352503 470004 705006 940008 1410012 2075851 2820024 4151702 6227553 8303404 12455106 16606808 18682659 24910212 37365318 49820424 74730636 149461272