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425857536 = 2932137109
BaseRepresentation
bin11001011000100…
…001001000000000
31002200022210201100
4121120201020000
51333004420121
6110131334400
713360505106
oct3130411000
91080283640
10425857536
111a9427085
12ba751400
136a2c5c10
14407b5c76
15275c0026
hex19621200

425857536 has 120 divisors (see below), whose sum is σ = 1323782460. Its totient is φ = 131014656.

The previous prime is 425857519. The next prime is 425857541. The reversal of 425857536 is 635758524.

425857536 is a `hidden beast` number, since 42 + 5 + 8 + 575 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 363131136 + 62726400 = 19056^2 + 7920^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 425857491 and 425857500.

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, 56350 + ... + 63458.

Almost surely, 2425857536 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 425857536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661891230).

425857536 is an abundant number, since it is smaller than the sum of its proper divisors (897924924).

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

425857536 is a wasteful number, since it uses less digits than its factorization.

425857536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7146 (or 7127 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 425857536 is about 20636.3159502853. The cubic root of 425857536 is about 752.3526337693.

The spelling of 425857536 in words is "four hundred twenty-five million, eight hundred fifty-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1152 1248 1536 1664 1872 2304 2496 3328 3744 4608 4992 6656 7109 7488 9984 14218 14976 19968 21327 28436 29952 42654 56872 59904 63981 85308 92417 113744 127962 170616 184834 227488 255924 277251 341232 369668 454976 511848 554502 682464 739336 831753 909952 1023696 1109004 1364928 1478672 1663506 1819904 2047392 2218008 2729856 2957344 3327012 3639808 4094784 4436016 5459712 5914688 6654024 8189568 8872032 10919424 11829376 13308048 16379136 17744064 23658752 26616096 32758272 35488128 47317504 53232192 70976256 106464384 141952512 212928768 425857536