Search a number
-
+
149446476 = 22321941732
BaseRepresentation
bin10001110100001…
…01111101001100
3101102012200000200
420322011331030
5301224241401
622455053500
73463163004
oct1072057514
9342180020
10149446476
11773a4393
1242071290
1324c66c8a
1415bc3004
15d1c0686
hex8e85f4c

149446476 has 108 divisors (see below), whose sum is σ = 413005320. Its totient is φ = 45411840.

The previous prime is 149446471. The next prime is 149446481. The reversal of 149446476 is 674644941.

149446476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149446471) and next prime (149446481).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (580608) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (149446471) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2047176 + ... + 2047248.

Almost surely, 2149446476 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 149446476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206502660).

149446476 is an abundant number, since it is smaller than the sum of its proper divisors (263558844).

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

149446476 is a wasteful number, since it uses less digits than its factorization.

149446476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 138 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 149446476 is about 12224.8303055707. The cubic root of 149446476 is about 530.6749156637.

The spelling of 149446476 in words is "one hundred forty-nine million, four hundred forty-six thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 73 76 82 114 123 146 164 171 219 228 246 292 342 369 438 492 657 684 738 779 876 1314 1387 1476 1558 2337 2628 2774 2993 3116 4161 4674 5329 5548 5986 7011 8322 8979 9348 10658 11972 12483 14022 15987 16644 17958 21316 24966 26937 28044 31974 35916 47961 49932 53874 56867 63948 95922 101251 107748 113734 170601 191844 202502 218489 227468 303753 341202 405004 436978 511803 607506 655467 682404 873956 911259 1023606 1215012 1310934 1822518 1966401 2047212 2621868 3645036 3932802 4151291 7865604 8302582 12453873 16605164 24907746 37361619 49815492 74723238 149446476