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426379408 = 24713973019
BaseRepresentation
bin11001011010100…
…000100010010000
31002201022022120221
4121122200202100
51333123120113
6110150442424
713365110440
oct3132404220
91081268527
10426379408
111a9753184
12ba963414
136a449610
14408b0120
152767498d
hex196a0890

426379408 has 80 divisors (see below), whose sum is σ = 1027573120. Its totient is φ = 166883328.

The previous prime is 426379391. The next prime is 426379417. The reversal of 426379408 is 804973624.

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, 139723 + ... + 142741.

It is an arithmetic number, because the mean of its divisors is an integer number (12844664).

Almost surely, 2426379408 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 426379408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513786560).

426379408 is an abundant number, since it is smaller than the sum of its proper divisors (601193712).

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

426379408 is a wasteful number, since it uses less digits than its factorization.

426379408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 426379408 is about 20648.9565838083. The cubic root of 426379408 is about 752.6598347028.

The spelling of 426379408 in words is "four hundred twenty-six million, three hundred seventy-nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 97 104 112 182 194 208 364 388 679 728 776 1261 1358 1456 1552 2522 2716 3019 5044 5432 6038 8827 10088 10864 12076 17654 20176 21133 24152 35308 39247 42266 48304 70616 78494 84532 141232 156988 169064 274729 292843 313976 338128 549458 585686 627952 1098916 1171372 2049901 2197832 2342744 3806959 4099802 4395664 4685488 7613918 8199604 15227836 16399208 26648713 30455672 32798416 53297426 60911344 106594852 213189704 426379408