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149046642 = 2341396619
BaseRepresentation
bin10001110001001…
…00010101110010
3101101110100120000
420320210111302
5301123443032
622442330430
73456606213
oct1070442562
9341410500
10149046642
1177150a48
1241ab9a16
1324b56ca4
1415b1b40a
15d141e7c
hex8e24572

149046642 has 40 divisors (see below), whose sum is σ = 336428400. Its totient is φ = 49317336.

The previous prime is 149046629. The next prime is 149046649. The reversal of 149046642 is 246640941.

149046642 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 4 + 6 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 149046597 and 149046606.

It is not an unprimeable number, because it can be changed into a prime (149046649) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19209 + ... + 25827.

It is an arithmetic number, because the mean of its divisors is an integer number (8410710).

Almost surely, 2149046642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149046642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168214200).

149046642 is an abundant number, since it is smaller than the sum of its proper divisors (187381758).

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

149046642 is a wasteful number, since it uses less digits than its factorization.

149046642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6772 (or 6763 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 149046642 is about 12208.4659970039. The cubic root of 149046642 is about 530.2012312879.

The spelling of 149046642 in words is "one hundred forty-nine million, forty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 139 162 278 417 834 1251 2502 3753 6619 7506 11259 13238 19857 22518 39714 59571 119142 178713 357426 536139 920041 1072278 1840082 2760123 5520246 8280369 16560738 24841107 49682214 74523321 149046642