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426198400 = 2752133187
BaseRepresentation
bin11001011001110…
…100010110000000
31002200222010021221
4121121310112000
51333101322100
6110142524424
713363424635
oct3131642600
91080863257
10426198400
111a963a191
12ba896714
136a3b5104
144086418c
152763b01a
hex19674580

426198400 has 48 divisors (see below), whose sum is σ = 1052851140. Its totient is φ = 170478080.

The previous prime is 426198391. The next prime is 426198401. The reversal of 426198400 is 4891624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426198401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63394 + ... + 69793.

Almost surely, 2426198400 is an apocalyptic number.

426198400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426198400 is an abundant number, since it is smaller than the sum of its proper divisors (626652740).

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

426198400 is a wasteful number, since it uses less digits than its factorization.

426198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133211 (or 133194 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 426198400 is about 20644.5731367834. The cubic root of 426198400 is about 752.5533124114.

The spelling of 426198400 in words is "four hundred twenty-six million, one hundred ninety-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 133187 266374 532748 665935 1065496 1331870 2130992 2663740 3329675 4261984 5327480 6659350 8523968 10654960 13318700 17047936 21309920 26637400 42619840 53274800 85239680 106549600 213099200 426198400