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481240956 = 223726113417
BaseRepresentation
bin11100101011110…
…010011101111100
31020112112120111010
4130223302131330
51441144202311
6115430355220
714632323600
oct3453623574
91215476433
10481240956
112277144a9
121151bbb10
1378917781
1447cb1500
152c3aeda6
hex1caf277c

481240956 has 72 divisors (see below), whose sum is σ = 1327737936. Its totient is φ = 135233280.

The previous prime is 481240939. The next prime is 481240957. The reversal of 481240956 is 659042184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481240957) 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, 29160 + ... + 42576.

Almost surely, 2481240956 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 481240956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663868968).

481240956 is an abundant number, since it is smaller than the sum of its proper divisors (846496980).

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

481240956 is a wasteful number, since it uses less digits than its factorization.

481240956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13499 (or 13490 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 481240956 is about 21937.2048356212. The cubic root of 481240956 is about 783.6476945997.

The spelling of 481240956 in words is "four hundred eighty-one million, two hundred forty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 84 98 122 147 183 196 244 294 366 427 588 732 854 1281 1708 2562 2989 5124 5978 8967 11956 13417 17934 26834 35868 40251 53668 80502 93919 161004 187838 281757 375676 563514 657433 818437 1127028 1314866 1636874 1972299 2455311 2629732 3273748 3944598 4910622 5729059 7889196 9821244 11458118 17187177 22916236 34374354 40103413 68748708 80206826 120310239 160413652 240620478 481240956