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425951232 = 21537619
BaseRepresentation
bin11001011000111…
…000000000000000
31002200111120020120
4121120320000000
51333020414412
6110133340240
713361345220
oct3130700000
91080446216
10425951232
111a9490513
12ba797680
136a329765
14407dc080
15275dcb8c
hex19638000

425951232 has 128 divisors (see below), whose sum is σ = 1300214400. Its totient is φ = 121503744.

The previous prime is 425951231. The next prime is 425951243. The reversal of 425951232 is 232159524.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 425951193 and 425951202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425951231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687819 + ... + 688437.

It is an arithmetic number, because the mean of its divisors is an integer number (10157925).

Almost surely, 2425951232 is an apocalyptic number.

425951232 is a gapful number since it is divisible by the number (42) 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 425951232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650107200).

425951232 is an abundant number, since it is smaller than the sum of its proper divisors (874263168).

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

425951232 is an frugal number, since it uses more digits than its factorization.

425951232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 631 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 425951232 is about 20638.5859980765. The cubic root of 425951232 is about 752.4078065734.

The spelling of 425951232 in words is "four hundred twenty-five million, nine hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 619 672 768 896 1024 1238 1344 1536 1792 1857 2048 2476 2688 3072 3584 3714 4096 4333 4952 5376 6144 7168 7428 8192 8666 9904 10752 12288 12999 14336 14856 16384 17332 19808 21504 24576 25998 28672 29712 32768 34664 39616 43008 49152 51996 57344 59424 69328 79232 86016 98304 103992 114688 118848 138656 158464 172032 207984 229376 237696 277312 316928 344064 415968 475392 554624 633856 688128 831936 950784 1109248 1267712 1663872 1901568 2218496 2535424 3327744 3803136 4436992 5070848 6655488 7606272 8873984 10141696 13310976 15212544 17747968 20283392 26621952 30425088 35495936 53243904 60850176 70991872 106487808 141983744 212975616 425951232