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496401312 = 25311470077
BaseRepresentation
bin11101100101100…
…111101110100000
31021121001210120210
4131211213232200
52004034320222
6121131334120
715205225101
oct3545475640
91247053523
10496401312
11235229720
1211a2b1340
137bac50b4
1449cda3a8
152d8a6d0c
hex1d967ba0

496401312 has 48 divisors (see below), whose sum is σ = 1421515872. Its totient is φ = 150424320.

The previous prime is 496401307. The next prime is 496401317. The reversal of 496401312 is 213104694.

It is an interprime number because it is at equal distance from previous prime (496401307) and next prime (496401317).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 496401312.

It is not an unprimeable number, because it can be changed into a prime (496401317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233983 + ... + 236094.

It is an arithmetic number, because the mean of its divisors is an integer number (29614914).

Almost surely, 2496401312 is an apocalyptic number.

It is an amenable number.

496401312 is an abundant number, since it is smaller than the sum of its proper divisors (925114560).

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

496401312 is a wasteful number, since it uses less digits than its factorization.

496401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470101 (or 470093 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 496401312 is about 22280.0653499939. The cubic root of 496401312 is about 791.7917522068.

The spelling of 496401312 in words is "four hundred ninety-six million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 470077 940154 1410231 1880308 2820462 3760616 5170847 5640924 7521232 10341694 11281848 15042464 15512541 20683388 22563696 31025082 41366776 45127392 62050164 82733552 124100328 165467104 248200656 496401312