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428415750 = 2335379067
BaseRepresentation
bin11001100010010…
…001101100000110
31002212010202221000
4121202101230012
51334133301000
6110302234130
713421321340
oct3142215406
91085122830
10428415750
111aa914104
12bb585946
136a9b0459
1440c80290
1527928000
hex19891b06

428415750 has 128 divisors (see below), whose sum is σ = 1358023680. Its totient is φ = 97912800.

The previous prime is 428415739. The next prime is 428415769. The reversal of 428415750 is 57514824.

428415750 is a `hidden beast` number, since 4 + 2 + 84 + 1 + 575 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42717 + ... + 51783.

It is an arithmetic number, because the mean of its divisors is an integer number (10609560).

Almost surely, 2428415750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428415750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679011840).

428415750 is an abundant number, since it is smaller than the sum of its proper divisors (929607930).

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

428415750 is a wasteful number, since it uses less digits than its factorization.

428415750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9100 (or 9084 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 428415750 is about 20698.2064440376. The cubic root of 428415750 is about 753.8561396038.

The spelling of 428415750 in words is "four hundred twenty-eight million, four hundred fifteen thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 125 126 135 150 175 189 210 225 250 270 315 350 375 378 450 525 630 675 750 875 945 1050 1125 1350 1575 1750 1890 2250 2625 3150 3375 4725 5250 6750 7875 9067 9450 15750 18134 23625 27201 45335 47250 54402 63469 81603 90670 126938 136005 163206 190407 226675 244809 272010 317345 380814 408015 453350 489618 571221 634690 680025 816030 952035 1133375 1142442 1224045 1360050 1586725 1713663 1904070 2040075 2266750 2448090 2856105 3173450 3400125 3427326 4080150 4760175 5712210 6120225 6800250 7933625 8568315 9520350 10200375 12240450 14280525 15867250 17136630 20400750 23800875 28561050 30601125 42841575 47601750 61202250 71402625 85683150 142805250 214207875 428415750