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245630464 = 292971233
BaseRepresentation
bin11101010010000…
…00011000000000
3122010012022122121
432221000120000
51000340133324
640212414024
76041552542
oct1651003000
9563168577
10245630464
11116719892
126a317314
133bb72891
142489d692
151686e5e4
hexea40600

245630464 has 80 divisors (see below), whose sum is σ = 517065120. Its totient is φ = 116408320.

The previous prime is 245630459. The next prime is 245630471. The reversal of 245630464 is 464036542.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1054092 + ... + 1054324.

It is an arithmetic number, because the mean of its divisors is an integer number (6463314).

Almost surely, 2245630464 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 245630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258532560).

245630464 is an abundant number, since it is smaller than the sum of its proper divisors (271434656).

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

245630464 is an equidigital number, since it uses as much as digits as its factorization.

245630464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The square root of 245630464 is about 15672.6023365617. The cubic root of 245630464 is about 626.2687519667.

The spelling of 245630464 in words is "two hundred forty-five million, six hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 71 116 128 142 232 233 256 284 464 466 512 568 928 932 1136 1856 1864 2059 2272 3712 3728 4118 4544 6757 7424 7456 8236 9088 13514 14848 14912 16472 16543 18176 27028 29824 32944 33086 36352 54056 59648 65888 66172 108112 119296 131776 132344 216224 263552 264688 432448 479747 527104 529376 864896 959494 1054208 1058752 1729792 1918988 2117504 3459584 3837976 4235008 7675952 8470016 15351904 30703808 61407616 122815232 245630464