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427942152 = 233211249121
BaseRepresentation
bin11001100000011…
…110000100001000
31002211020201021100
4121200132010020
51334023122102
6110244141400
713414306521
oct3140360410
91084221240
10427942152
111aa620300
12bb397860
136a875a11
1440b99848
1527882a1c
hex1981e108

427942152 has 72 divisors (see below), whose sum is σ = 1273979070. Its totient is φ = 129676800.

The previous prime is 427942091. The next prime is 427942189. The reversal of 427942152 is 251249724.

It can be written as a sum of positive squares in only one way, i.e., 421316676 + 6625476 = 20526^2 + 2574^2 .

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

It is a super-2 number, since 2×4279421522 = 366268970916782208, which contains 22 as substring.

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15849 + ... + 33272.

Almost surely, 2427942152 is an apocalyptic number.

It is an amenable number.

427942152 is an abundant number, since it is smaller than the sum of its proper divisors (846036918).

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

427942152 is a wasteful number, since it uses less digits than its factorization.

427942152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49155 (or 49137 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 427942152 is about 20686.7627240223. The cubic root of 427942152 is about 753.5782503493.

The spelling of 427942152 in words is "four hundred twenty-seven million, nine hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 49121 98242 147363 196484 294726 392968 442089 540331 589452 884178 1080662 1178904 1620993 1768356 2161324 3241986 3536712 4322648 4862979 5943641 6483972 9725958 11887282 12967944 17830923 19451916 23774564 35661846 38903832 47549128 53492769 71323692 106985538 142647384 213971076 427942152