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425829312 = 26369127
BaseRepresentation
bin11001011000011…
…010001111000000
31002200021101000000
4121120122033000
51333003014222
6110131000000
713360326606
oct3130321700
91080241000
10425829312
111a9407957
12ba739000
136a2b610c
14407a9876
15275b69ac
hex1961a3c0

425829312 has 98 divisors (see below), whose sum is σ = 1267066808. Its totient is φ = 141927552.

The previous prime is 425829307. The next prime is 425829329. The reversal of 425829312 is 213928524.

It is a happy number.

425829312 is a `hidden beast` number, since 42 + 582 + 9 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 42093 + ... + 51219.

Almost surely, 2425829312 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 425829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633533404).

425829312 is an abundant number, since it is smaller than the sum of its proper divisors (841237496).

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

425829312 is an frugal number, since it uses more digits than its factorization.

425829312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9157 (or 9132 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 425829312 is about 20635.6320959645. The cubic root of 425829312 is about 752.3360125067.

The spelling of 425829312 in words is "four hundred twenty-five million, eight hundred twenty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 9127 11664 15552 18254 23328 27381 36508 46656 54762 73016 82143 109524 146032 164286 219048 246429 292064 328572 438096 492858 584128 657144 739287 876192 985716 1314288 1478574 1752384 1971432 2217861 2628576 2957148 3942864 4435722 5257152 5914296 6653583 7885728 8871444 11828592 13307166 15771456 17742888 23657184 26614332 35485776 47314368 53228664 70971552 106457328 141943104 212914656 425829312