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425909376 = 2732457809
BaseRepresentation
bin11001011000101…
…101110010000000
31002200102102211100
4121120231302000
51333013100001
6110132414400
713361112204
oct3130556200
91080372740
10425909376
111a9462022
12ba777400
136a3136a9
14407cab04
15275d0586
hex1962dc80

425909376 has 96 divisors (see below), whose sum is σ = 1229798700. Its totient is φ = 141484032.

The previous prime is 425909369. The next prime is 425909387. The reversal of 425909376 is 673909524.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 354945600 + 70963776 = 18840^2 + 8424^2 .

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

It is a nialpdrome in base 12.

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, 526060 + ... + 526868.

Almost surely, 2425909376 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 425909376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614899350).

425909376 is an abundant number, since it is smaller than the sum of its proper divisors (803889324).

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

425909376 is a wasteful number, since it uses less digits than its factorization.

425909376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 425909376 is about 20637.5719502077. The cubic root of 425909376 is about 752.3831607060.

The spelling of 425909376 in words is "four hundred twenty-five million, nine hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 457 576 809 914 1152 1371 1618 1828 2427 2742 3236 3656 4113 4854 5484 6472 7281 7312 8226 9708 10968 12944 14562 14624 16452 19416 21936 25888 29124 29248 32904 38832 43872 51776 58248 58496 65808 77664 87744 103552 116496 131616 155328 175488 232992 263232 310656 369713 465984 526464 739426 931968 1109139 1478852 2218278 2957704 3327417 4436556 5915408 6654834 8873112 11830816 13309668 17746224 23661632 26619336 35492448 47323264 53238672 70984896 106477344 141969792 212954688 425909376