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2573425728 = 26341729201
BaseRepresentation
bin1001100101100011…
…0101110001000000
320122100100120110000
42121120311301000
520232244110403
61103205240000
7120525520626
oct23130656100
96570316400
102573425728
1111006a4925
125b9a03000
133201ca323
141a5ac5516
15100dd17a3
hex99635c40

2573425728 has 140 divisors (see below), whose sum is σ = 8077448412. Its totient is φ = 807321600.

The previous prime is 2573425681. The next prime is 2573425747. The reversal of 2573425728 is 8275243752.

2573425728 is a `hidden beast` number, since 2 + 5 + 73 + 4 + 2 + 572 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1423401984 + 1150023744 = 37728^2 + 33912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73528 + ... + 102728.

Almost surely, 22573425728 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 2573425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038724206).

2573425728 is an abundant number, since it is smaller than the sum of its proper divisors (5504022684).

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

2573425728 is a wasteful number, since it uses less digits than its factorization.

2573425728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29242 (or 29223 counting only the distinct ones).

The product of its digits is 940800, while the sum is 45.

The square root of 2573425728 is about 50728.9436909542. The cubic root of 2573425728 is about 1370.3680130921.

The spelling of 2573425728 in words is "two billion, five hundred seventy-three million, four hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3672 4896 5184 5508 7344 9792 11016 14688 22032 29201 29376 44064 58402 87603 88128 116804 175206 233608 262809 350412 467216 496417 525618 700824 788427 934432 992834 1051236 1401648 1489251 1576854 1868864 1985668 2102472 2365281 2803296 2978502 3153708 3971336 4204944 4467753 4730562 5606592 5957004 6307416 7942672 8409888 8935506 9461124 11914008 12614832 13403259 15885344 16819776 17871012 18922248 23828016 25229664 26806518 31770688 35742024 37844496 40209777 47656032 50459328 53613036 71484048 75688992 80419554 95312064 107226072 142968096 151377984 160839108 214452144 285936192 321678216 428904288 643356432 857808576 1286712864 2573425728