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5726328048 = 24357210403
BaseRepresentation
bin1010101010101000…
…01101010011110000
3112210002002121100000
411111110031103300
543211414444143
62344115030000
7261621661650
oct52524152360
915702077300
105726328048
1124793aa021
12113989b300
137034887bc
143c4730360
15237ac9bd3
hex15550d4f0

5726328048 has 120 divisors (see below), whose sum is σ = 18993589888. Its totient is φ = 1636085952.

The previous prime is 5726328043. The next prime is 5726328067. The reversal of 5726328048 is 8408236275.

5726328048 is a `hidden beast` number, since 5 + 7 + 2 + 632 + 8 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×57263280482 = 65581665826622980608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5726327994 and 5726328012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5726328043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77986 + ... + 132417.

Almost surely, 25726328048 is an apocalyptic number.

It is an amenable number.

5726328048 is an abundant number, since it is smaller than the sum of its proper divisors (13267261840).

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

5726328048 is a wasteful number, since it uses less digits than its factorization.

5726328048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210433 (or 210415 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5726328048 is about 75672.5052314247. The cubic root of 5726328048 is about 1789.0620688864.

The spelling of 5726328048 in words is "five billion, seven hundred twenty-six million, three hundred twenty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 6804 9072 13608 27216 210403 420806 631209 841612 1262418 1472821 1683224 1893627 2524836 2945642 3366448 3787254 4418463 5049672 5680881 5891284 7574508 8836926 10099344 11361762 11782568 13255389 15149016 17042643 17673852 22723524 23565136 26510778 30298032 34085286 35347704 39766167 45447048 51127929 53021556 68170572 70695408 79532334 90894096 102255858 106043112 119298501 136341144 159064668 204511716 212086224 238597002 272682288 318129336 357895503 409023432 477194004 636258672 715791006 818046864 954388008 1431582012 1908776016 2863164024 5726328048