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116050464 = 2532439371
BaseRepresentation
bin1101110101011…
…00101000100000
322002100222022100
412322230220200
5214202103324
615303210400
72606261355
oct672545040
9262328270
10116050464
115a564482
1232a46a00
131b07331a
14115ac62c
15a2c54c9
hex6eaca20

116050464 has 72 divisors (see below), whose sum is σ = 337729392. Its totient is φ = 37779840.

The previous prime is 116050457. The next prime is 116050469. The reversal of 116050464 is 464050611.

116050464 is a `hidden beast` number, since 11 + 605 + 0 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (116050469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7699 + ... + 17069.

It is an arithmetic number, because the mean of its divisors is an integer number (4690686).

Almost surely, 2116050464 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 116050464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168864696).

116050464 is an abundant number, since it is smaller than the sum of its proper divisors (221678928).

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

116050464 is a wasteful number, since it uses less digits than its factorization.

116050464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9430 (or 9419 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 116050464 is about 10772.6720919185. The cubic root of 116050464 is about 487.7706079450.

The spelling of 116050464 in words is "one hundred sixteen million, fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 9371 12384 18742 28113 37484 56226 74968 84339 112452 149936 168678 224904 299872 337356 402953 449808 674712 805906 899616 1208859 1349424 1611812 2417718 2698848 3223624 3626577 4835436 6447248 7253154 9670872 12894496 14506308 19341744 29012616 38683488 58025232 116050464