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425888768 = 2102511657
BaseRepresentation
bin11001011000101…
…000110000000000
31002200101101120002
4121120220300000
51333011420033
6110132135132
713360665134
oct3130506000
91080341502
10425888768
111a9448598
12ba7674a8
136a3071b6
14407c33c4
15275c93e8
hex19628c00

425888768 has 44 divisors (see below), whose sum is σ = 855269352. Its totient is φ = 211968000.

The previous prime is 425888767. The next prime is 425888773. The reversal of 425888768 is 867888524.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (425888767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 256196 + ... + 257852.

Almost surely, 2425888768 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 425888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427634676).

425888768 is an abundant number, since it is smaller than the sum of its proper divisors (429380584).

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

425888768 is a wasteful number, since it uses less digits than its factorization.

425888768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1910 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 56.

The square root of 425888768 is about 20637.0726606270. The cubic root of 425888768 is about 752.3710256031.

The spelling of 425888768 in words is "four hundred twenty-five million, eight hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 251 256 502 512 1004 1024 1657 2008 3314 4016 6628 8032 13256 16064 26512 32128 53024 64256 106048 128512 212096 257024 415907 424192 831814 848384 1663628 1696768 3327256 6654512 13309024 26618048 53236096 106472192 212944384 425888768