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428349672 = 23329761333
BaseRepresentation
bin11001100010000…
…001100011101000
31002212000102021200
4121202001203220
51334124142142
6110301004200
713420624602
oct3142014350
91085012250
10428349672
111aa8794a3
12bb553660
136a98935a
1440c64172
152791364c
hex198818e8

428349672 has 48 divisors (see below), whose sum is σ = 1172092740. Its totient is φ = 141308928.

The previous prime is 428349671. The next prime is 428349707. The reversal of 428349672 is 276943824.

It can be written as a sum of positive squares in 2 ways, for example, as 392277636 + 36072036 = 19806^2 + 6006^2 .

It is not an unprimeable number, because it can be changed into a prime (428349671) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 23683 + ... + 37650.

Almost surely, 2428349672 is an apocalyptic number.

It is an amenable number.

428349672 is an abundant number, since it is smaller than the sum of its proper divisors (743743068).

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

428349672 is a wasteful number, since it uses less digits than its factorization.

428349672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61442 (or 61435 counting only the distinct ones).

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

The square root of 428349672 is about 20696.6101572214. The cubic root of 428349672 is about 753.8173798498.

The spelling of 428349672 in words is "four hundred twenty-eight million, three hundred forty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 61333 122666 183999 245332 367998 490664 551997 735996 1103994 1471992 2207988 4415976 5949301 11898602 17847903 23797204 35695806 47594408 53543709 71391612 107087418 142783224 214174836 428349672