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402428495328 = 25361439715629
BaseRepresentation
bin1011101101100101001…
…10111000010111100000
31102110201221012201022020
411312302212320113200
523043133143322303
6504512331141440
741034360525216
oct5666246702740
91373657181266
10402428495328
1114573a437932
1265bb05a4880
132bc447c3122
141569891ccb6
15a704beca53
hex5db29b85e0

402428495328 has 96 divisors (see below), whose sum is σ = 1074005321760. Its totient is φ = 131905320960.

The previous prime is 402428495251. The next prime is 402428495333. The reversal of 402428495328 is 823594824204.

402428495328 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 25741018 + ... + 25756646.

It is an arithmetic number, because the mean of its divisors is an integer number (11187555435).

Almost surely, 2402428495328 is an apocalyptic number.

402428495328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402428495328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537002660880).

402428495328 is an abundant number, since it is smaller than the sum of its proper divisors (671576826432).

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

402428495328 is a wasteful number, since it uses less digits than its factorization.

402428495328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20100 (or 20092 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 402428495328 in words is "four hundred two billion, four hundred twenty-eight million, four hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 4397 5856 8794 13191 15629 17588 26382 31258 35176 46887 52764 62516 70352 93774 105528 125032 140704 187548 211056 250064 268217 375096 422112 500128 536434 750192 804651 953369 1072868 1500384 1609302 1906738 2145736 2860107 3218604 3813476 4291472 5720214 6437208 7626952 8582944 11440428 12874416 15253904 22880856 25748832 30507808 45761712 68720713 91523424 137441426 206162139 274882852 412324278 549765704 824648556 1099531408 1649297112 2199062816 3298594224 4191963493 6597188448 8383926986 12575890479 16767853972 25151780958 33535707944 50303561916 67071415888 100607123832 134142831776 201214247664 402428495328