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2500056672 = 253414091553
BaseRepresentation
bin1001010100000011…
…1101011001100000
320110020022001000120
42111000331121200
520110003303142
61052024520240
7115645062651
oct22500753140
96406261016
102500056672
111073242643
12599320080
1330ac4c199
1419a067528
15e973c7ec
hex9503d660

2500056672 has 96 divisors (see below), whose sum is σ = 6743489760. Its totient is φ = 810516480.

The previous prime is 2500056667. The next prime is 2500056677. The reversal of 2500056672 is 2766500052.

It is an interprime number because it is at equal distance from previous prime (2500056667) and next prime (2500056677).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2500056677) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1609048 + ... + 1610600.

It is an arithmetic number, because the mean of its divisors is an integer number (70244685).

Almost surely, 22500056672 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 2500056672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371744880).

2500056672 is an abundant number, since it is smaller than the sum of its proper divisors (4243433088).

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

2500056672 is a wasteful number, since it uses less digits than its factorization.

2500056672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 2500056672 is about 50000.5667167883. The cubic root of 2500056672 is about 1357.2190636516.

The spelling of 2500056672 in words is "two billion, five hundred million, fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 409 492 656 818 984 1227 1312 1553 1636 1968 2454 3106 3272 3936 4659 4908 6212 6544 9318 9816 12424 13088 16769 18636 19632 24848 33538 37272 39264 49696 50307 63673 67076 74544 100614 127346 134152 149088 191019 201228 254692 268304 382038 402456 509384 536608 635177 764076 804912 1018768 1270354 1528152 1609824 1905531 2037536 2540708 3056304 3811062 5081416 6112608 7622124 10162832 15244248 20325664 26042257 30488496 52084514 60976992 78126771 104169028 156253542 208338056 312507084 416676112 625014168 833352224 1250028336 2500056672