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426157400 = 23522578291
BaseRepresentation
bin11001011001101…
…010010101011000
31002200220001001102
4121121222111120
51333044014100
6110142010532
713363164254
oct3131522530
91080801042
10426157400
111a96113a9
12ba876a48
136a39c556
1440853264
152762dcd5
hex1966a558

426157400 has 48 divisors (see below), whose sum is σ = 994791240. Its totient is φ = 169779200.

The previous prime is 426157397. The next prime is 426157423. The reversal of 426157400 is 4751624.

It is a super-2 number, since 2×4261574002 = 363220259149520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47255 + ... + 55545.

Almost surely, 2426157400 is an apocalyptic number.

426157400 is a gapful number since it is divisible by the number (40) 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 426157400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497395620).

426157400 is an abundant number, since it is smaller than the sum of its proper divisors (568633840).

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

426157400 is a wasteful number, since it uses less digits than its factorization.

426157400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8564 (or 8555 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 426157400 is about 20643.5801158617. The cubic root of 426157400 is about 752.5291799297.

The spelling of 426157400 in words is "four hundred twenty-six million, one hundred fifty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 257 514 1028 1285 2056 2570 5140 6425 8291 10280 12850 16582 25700 33164 41455 51400 66328 82910 165820 207275 331640 414550 829100 1658200 2130787 4261574 8523148 10653935 17046296 21307870 42615740 53269675 85231480 106539350 213078700 426157400