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428488152 = 233196531439
BaseRepresentation
bin11001100010100…
…011010111011000
31002212021110020120
4121202203113120
51334143110102
6110303553240
713422042411
oct3142432730
91085243216
10428488152
111aa963544
12bb5bb820
136aa073b1
1440c9c808
152793e6bc
hex198a35d8

428488152 has 64 divisors (see below), whose sum is σ = 1130112000. Its totient is φ = 135010944.

The previous prime is 428488139. The next prime is 428488201. The reversal of 428488152 is 251884824.

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, 297049 + ... + 298487.

It is an arithmetic number, because the mean of its divisors is an integer number (17658000).

Almost surely, 2428488152 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 428488152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565056000).

428488152 is an abundant number, since it is smaller than the sum of its proper divisors (701623848).

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

428488152 is a wasteful number, since it uses less digits than its factorization.

428488152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2116 counting only the distinct ones).

The product of its digits is 163840, while the sum is 42.

The square root of 428488152 is about 20699.9553622707. The cubic root of 428488152 is about 753.8986042874.

The spelling of 428488152 in words is "four hundred twenty-eight million, four hundred eighty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 653 1306 1439 1959 2612 2878 3918 4317 5224 5756 7836 8634 11512 12407 15672 17268 24814 27341 34536 37221 49628 54682 74442 82023 99256 109364 148884 164046 218728 297768 328092 656184 939667 1879334 2819001 3758668 5638002 7517336 11276004 17853673 22552008 35707346 53561019 71414692 107122038 142829384 214244076 428488152