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2083575968 = 25313756767
BaseRepresentation
bin111110000110000…
…1101100010100000
312101012121121220022
41330030031202200
513231343412333
6542430133012
7102430050335
oct17414154240
95335547808
102083575968
1197a140511
124a1951168
1327288a2b6
1415aa1298c
15c2dc0c98
hex7c30d8a0

2083575968 has 48 divisors (see below), whose sum is σ = 4348882944. Its totient is φ = 980916480.

The previous prime is 2083575959. The next prime is 2083575971. The reversal of 2083575968 is 8695753802.

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 7 ways as a sum of consecutive naturals, for example, 8321 + ... + 65087.

It is an arithmetic number, because the mean of its divisors is an integer number (90601728).

Almost surely, 22083575968 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 2083575968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174441472).

2083575968 is an abundant number, since it is smaller than the sum of its proper divisors (2265306976).

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

2083575968 is a wasteful number, since it uses less digits than its factorization.

2083575968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56845 (or 56837 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The square root of 2083575968 is about 45646.2043109830. The cubic root of 2083575968 is about 1277.2319675935.

The spelling of 2083575968 in words is "two billion, eighty-three million, five hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 37 62 74 124 148 248 296 496 592 992 1147 1184 2294 4588 9176 18352 36704 56767 113534 227068 454136 908272 1759777 1816544 2100379 3519554 4200758 7039108 8401516 14078216 16803032 28156432 33606064 56312864 65111749 67212128 130223498 260446996 520893992 1041787984 2083575968