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425967480 = 233252295167
BaseRepresentation
bin11001011000111…
…011111101111000
31002200112101112100
4121120323331320
51333021424410
6110133543400
713361443461
oct3130737570
91080471470
10425967480
111a94a1744
12ba7a4b60
136a333c83
1440803d68
15275e28c0
hex1963bf78

425967480 has 96 divisors (see below), whose sum is σ = 1390708800. Its totient is φ = 113073408.

The previous prime is 425967431. The next prime is 425967481. The reversal of 425967480 is 84769524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425967481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79857 + ... + 85023.

It is an arithmetic number, because the mean of its divisors is an integer number (14486550).

Almost surely, 2425967480 is an apocalyptic number.

425967480 is a gapful number since it is divisible by the number (40) 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 425967480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695354400).

425967480 is an abundant number, since it is smaller than the sum of its proper divisors (964741320).

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

425967480 is a wasteful number, since it uses less digits than its factorization.

425967480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5413 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 425967480 is about 20638.9796259408. The cubic root of 425967480 is about 752.4173733701.

The spelling of 425967480 in words is "four hundred twenty-five million, nine hundred sixty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 229 360 458 687 916 1145 1374 1832 2061 2290 2748 3435 4122 4580 5167 5496 6870 8244 9160 10305 10334 13740 15501 16488 20610 20668 25835 27480 31002 41220 41336 46503 51670 62004 77505 82440 93006 103340 124008 155010 186012 206680 232515 310020 372024 465030 620040 930060 1183243 1860120 2366486 3549729 4732972 5916215 7099458 9465944 10649187 11832430 14198916 17748645 21298374 23664860 28397832 35497290 42596748 47329720 53245935 70994580 85193496 106491870 141989160 212983740 425967480