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425463456 = 25311617653
BaseRepresentation
bin11001010111000…
…000111010100000
31002122120210010210
4121113000322200
51332404312311
6110115054120
713354244145
oct3127007240
91078523123
10425463456
111a9187aa0
12ba5a1340
136a1b8732
14407123cc
15275433a6
hex195c0ea0

425463456 has 96 divisors (see below), whose sum is σ = 1222216128. Its totient is φ = 128522240.

The previous prime is 425463449. The next prime is 425463463. The reversal of 425463456 is 654364524.

It is an interprime number because it is at equal distance from previous prime (425463449) and next prime (425463463).

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

It is a super-3 number, since 3×4254634563 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651226 + ... + 651878.

It is an arithmetic number, because the mean of its divisors is an integer number (12731418).

Almost surely, 2425463456 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 425463456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611108064).

425463456 is an abundant number, since it is smaller than the sum of its proper divisors (796752672).

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

425463456 is a wasteful number, since it uses less digits than its factorization.

425463456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1286 counting only the distinct ones).

The product of its digits is 345600, while the sum is 39.

The square root of 425463456 is about 20626.7655244345. The cubic root of 425463456 is about 752.1204914821.

The spelling of 425463456 in words is "four hundred twenty-five million, four hundred sixty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 617 653 1056 1234 1306 1851 1959 2468 2612 3702 3918 4936 5224 6787 7183 7404 7836 9872 10448 13574 14366 14808 15672 19744 20361 20896 21549 27148 28732 29616 31344 40722 43098 54296 57464 59232 62688 81444 86196 108592 114928 162888 172392 217184 229856 325776 344784 402901 651552 689568 805802 1208703 1611604 2417406 3223208 4431911 4834812 6446416 8863822 9669624 12892832 13295733 17727644 19339248 26591466 35455288 38678496 53182932 70910576 106365864 141821152 212731728 425463456