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5090467456 = 27234493851
BaseRepresentation
bin1001011110110101…
…00101111010000000
3111010202121112120201
410233122211322000
540411124424311
62201042214544
7240101154664
oct45732457200
914122545521
105090467456
1121824885a8
12ba0954454
13631815529
143640d08a4
151ebd769c1
hex12f6a5e80

5090467456 has 64 divisors (see below), whose sum is σ = 10608408000. Its totient is φ = 2428518400.

The previous prime is 5090467451. The next prime is 5090467477. The reversal of 5090467456 is 6547640905.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×50904674562 = 51825717841190223872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (5090467451) 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, 1319931 + ... + 1323781.

It is an arithmetic number, because the mean of its divisors is an integer number (165756375).

Almost surely, 25090467456 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 5090467456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304204000).

5090467456 is an abundant number, since it is smaller than the sum of its proper divisors (5517940544).

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

5090467456 is a wasteful number, since it uses less digits than its factorization.

5090467456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4337 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The square root of 5090467456 is about 71347.5119117689. The cubic root of 5090467456 is about 1720.2275091158.

The spelling of 5090467456 in words is "five billion, ninety million, four hundred sixty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 449 736 898 1472 1796 2944 3592 3851 7184 7702 10327 14368 15404 20654 28736 30808 41308 57472 61616 82616 88573 123232 165232 177146 246464 330464 354292 492928 660928 708584 1321856 1417168 1729099 2834336 3458198 5668672 6916396 11337344 13832792 27665584 39769277 55331168 79538554 110662336 159077108 221324672 318154216 636308432 1272616864 2545233728 5090467456