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428374872 = 233318110957
BaseRepresentation
bin11001100010000…
…111101101011000
31002212001200212000
4121202013231120
51334130443442
6110301321000
713421061222
oct3142075530
91085050760
10428374872
111aa896422
12bb566160
136a997973
1440c6d412
152791ad4c
hex19887b58

428374872 has 64 divisors (see below), whose sum is σ = 1196613600. Its totient is φ = 141989760.

The previous prime is 428374867. The next prime is 428374907. The reversal of 428374872 is 278473824.

It is a super-2 number, since 2×4283748722 = 367010061922032768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33618 + ... + 44574.

Almost surely, 2428374872 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 428374872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598306800).

428374872 is an abundant number, since it is smaller than the sum of its proper divisors (768238728).

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

428374872 is a wasteful number, since it uses less digits than its factorization.

428374872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11153 (or 11143 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 428374872 is about 20697.2189436166. The cubic root of 428374872 is about 753.8321620295.

The spelling of 428374872 in words is "four hundred twenty-eight million, three hundred seventy-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 181 216 362 543 724 1086 1448 1629 2172 3258 4344 4887 6516 9774 10957 13032 19548 21914 32871 39096 43828 65742 87656 98613 131484 197226 262968 295839 394452 591678 788904 1183356 1983217 2366712 3966434 5949651 7932868 11899302 15865736 17848953 23798604 35697906 47597208 53546859 71395812 107093718 142791624 214187436 428374872