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496949096 = 23731293977
BaseRepresentation
bin11101100111101…
…101011101101000
31021122002122000002
4131213231131220
52004204332341
6121151202132
715212666120
oct3547553550
91248078002
10496949096
11235573236
1211a516348
137bc57527
1449dddc80
152d96429b
hex1d9ed768

496949096 has 64 divisors (see below), whose sum is σ = 1104122880. Its totient is φ = 205194240.

The previous prime is 496949071. The next prime is 496949107. The reversal of 496949096 is 690949694.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an alternating number because its digits alternate between even and odd.

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, 508160 + ... + 509136.

It is an arithmetic number, because the mean of its divisors is an integer number (17251920).

Almost surely, 2496949096 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 496949096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552061440).

496949096 is an abundant number, since it is smaller than the sum of its proper divisors (607173784).

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

496949096 is a wasteful number, since it uses less digits than its factorization.

496949096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 56.

The square root of 496949096 is about 22292.3551021421. The cubic root of 496949096 is about 792.0828952788.

The spelling of 496949096 in words is "four hundred ninety-six million, nine hundred forty-nine thousand, ninety-six".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 293 434 586 868 977 1172 1736 1954 2051 2344 3908 4102 6839 7816 8204 9083 13678 16408 18166 27356 30287 36332 54712 60574 63581 72664 121148 127162 212009 242296 254324 286261 424018 508648 572522 848036 1145044 1696072 2003827 2290088 4007654 8015308 8874091 16030616 17748182 35496364 62118637 70992728 124237274 248474548 496949096