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2682542304 = 253213716491
BaseRepresentation
bin1001111111100100…
…0101100011100000
320220221200021020200
42133321011203200
520443212323204
61122104105200
7123322143021
oct23771054340
96827607220
102682542304
111157252812
1262a465200
133399b3550
141b63aac48
1510a787539
hex9fe458e0

2682542304 has 72 divisors (see below), whose sum is σ = 8215297272. Its totient is φ = 825396480.

The previous prime is 2682542257. The next prime is 2682542327. The reversal of 2682542304 is 4032452862.

2682542304 is a `hidden beast` number, since 2 + 6 + 82 + 542 + 30 + 4 = 666.

2682542304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 354502 + ... + 361989.

It is an arithmetic number, because the mean of its divisors is an integer number (114101351).

Almost surely, 22682542304 is an apocalyptic number.

2682542304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2682542304 is an abundant number, since it is smaller than the sum of its proper divisors (5532754968).

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

2682542304 is a wasteful number, since it uses less digits than its factorization.

2682542304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716520 (or 716509 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2682542304 is about 51793.2650447913. The cubic root of 2682542304 is about 1389.4689937278.

The spelling of 2682542304 in words is "two billion, six hundred eighty-two million, five hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 716491 1432982 2149473 2865964 4298946 5731928 6448419 8597892 9314383 11463856 12896838 17195784 18628766 22927712 25793676 27943149 34391568 37257532 51587352 55886298 68783136 74515064 83829447 103174704 111772596 149030128 167658894 206349408 223545192 298060256 335317788 447090384 670635576 894180768 1341271152 2682542304