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428364762 = 23723753743
BaseRepresentation
bin11001100010000…
…101001111011010
31002212001011222120
4121202011033122
51334130133022
6110301202110
713421016600
oct3142051732
91085034876
10428364762
111aa889871
12bb560336
136a993197
1440c69870
1527917d5c
hex198853da

428364762 has 96 divisors (see below), whose sum is σ = 1044254592. Its totient is φ = 116678016.

The previous prime is 428364751. The next prime is 428364767. The reversal of 428364762 is 267463824.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (428364767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576163 + ... + 576905.

It is an arithmetic number, because the mean of its divisors is an integer number (10877652).

Almost surely, 2428364762 is an apocalyptic number.

428364762 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 428364762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522127296).

428364762 is an abundant number, since it is smaller than the sum of its proper divisors (615889830).

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

428364762 is a wasteful number, since it uses less digits than its factorization.

428364762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 845 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 428364762 is about 20696.9747064637. The cubic root of 428364762 is about 753.8262316295.

The spelling of 428364762 in words is "four hundred twenty-eight million, three hundred sixty-four thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 37 42 49 53 74 98 106 111 147 159 222 259 294 318 371 518 742 743 777 1113 1486 1554 1813 1961 2226 2229 2597 3626 3922 4458 5194 5201 5439 5883 7791 10402 10878 11766 13727 15582 15603 27454 27491 31206 36407 39379 41181 54982 72814 78758 82362 82473 96089 109221 118137 164946 192178 192437 218442 236274 275653 288267 384874 551306 576534 577311 826959 1154622 1347059 1457023 1653918 1929571 2694118 2914046 3859142 4041177 4371069 5788713 8082354 8742138 10199161 11577426 20398322 30597483 61194966 71394127 142788254 214182381 428364762