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5642581728 = 25378396699
BaseRepresentation
bin1010100000101001…
…01111011011100000
3112120020111211222110
411100110233123200
543024000103403
62331524035320
7256554103410
oct52024573340
915506454873
105642581728
1124360aa193
121115832b40
136bc016174
143b7570640
15230586103
hex15052f6e0

5642581728 has 48 divisors (see below), whose sum is σ = 16927747200. Its totient is φ = 1612166016.

The previous prime is 5642581723. The next prime is 5642581729. The reversal of 5642581728 is 8271852465.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5642581723) 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, 4197678 + ... + 4199021.

It is an arithmetic number, because the mean of its divisors is an integer number (352661400).

Almost surely, 25642581728 is an apocalyptic number.

It is an amenable number.

5642581728 is an abundant number, since it is smaller than the sum of its proper divisors (11285165472).

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

5642581728 is a wasteful number, since it uses less digits than its factorization.

5642581728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8396719 (or 8396711 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 48.

The square root of 5642581728 is about 75117.1200725906. The cubic root of 5642581728 is about 1780.2976533753.

The spelling of 5642581728 in words is "five billion, six hundred forty-two million, five hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 8396699 16793398 25190097 33586796 50380194 58776893 67173592 100760388 117553786 134347184 176330679 201520776 235107572 268694368 352661358 403041552 470215144 705322716 806083104 940430288 1410645432 1880860576 2821290864 5642581728