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483946956 = 2232172334381
BaseRepresentation
bin11100110110000…
…111000111001100
31020201122001102100
4130312013013030
51442342300311
6120004355100
714664324033
oct3466070714
91221561370
10483946956
112291a2569
121160a5a90
137935435c
14483b771a
152c746a56
hex1cd871cc

483946956 has 72 divisors (see below), whose sum is σ = 1351625184. Its totient is φ = 145221120.

The previous prime is 483946951. The next prime is 483946993. The reversal of 483946956 is 659649384.

It is not an unprimeable number, because it can be changed into a prime (483946951) 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, 3115 + ... + 31266.

It is an arithmetic number, because the mean of its divisors is an integer number (18772572).

Almost surely, 2483946956 is an apocalyptic number.

483946956 is a gapful number since it is divisible by the number (46) 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 483946956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675812592).

483946956 is an abundant number, since it is smaller than the sum of its proper divisors (867678228).

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

483946956 is a wasteful number, since it uses less digits than its factorization.

483946956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34431 (or 34426 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 483946956 is about 21998.7944215132. The cubic root of 483946956 is about 785.1137574333.

The spelling of 483946956 in words is "four hundred eighty-three million, nine hundred forty-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 612 782 828 1173 1564 2346 3519 4692 7038 14076 34381 68762 103143 137524 206286 309429 412572 584477 618858 790763 1168954 1237716 1581526 1753431 2337908 2372289 3163052 3506862 4744578 5260293 7013724 7116867 9489156 10520586 13442971 14233734 21041172 26885942 28467468 40328913 53771884 80657826 120986739 161315652 241973478 483946956