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2083757496 = 233238345481
BaseRepresentation
bin111110000110011…
…1001110110111000
312101012221211220120
41330030321312320
513231420214441
6542434053240
7102431434512
oct17414716670
95335854816
102083757496
1197a254937
124a1a1a220
13272921b02
1415aa5cbb2
15c2e09966
hex7c339db8

2083757496 has 64 divisors (see below), whose sum is σ = 5501502720. Its totient is φ = 656367360.

The previous prime is 2083757491. The next prime is 2083757521. The reversal of 2083757496 is 6947573802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083757491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23076 + ... + 68556.

It is an arithmetic number, because the mean of its divisors is an integer number (85960980).

Almost surely, 22083757496 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 2083757496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750751360).

2083757496 is an abundant number, since it is smaller than the sum of its proper divisors (3417745224).

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

2083757496 is a wasteful number, since it uses less digits than its factorization.

2083757496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45596 (or 45592 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The square root of 2083757496 is about 45648.1926914966. The cubic root of 2083757496 is about 1277.2690587348.

The spelling of 2083757496 in words is "two billion, eighty-three million, seven hundred fifty-seven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 83 92 138 166 184 249 276 332 498 552 664 996 1909 1992 3818 5727 7636 11454 15272 22908 45481 45816 90962 136443 181924 272886 363848 545772 1046063 1091544 2092126 3138189 3774923 4184252 6276378 7549846 8368504 11324769 12552756 15099692 22649538 25105512 30199384 45299076 86823229 90598152 173646458 260469687 347292916 520939374 694585832 1041878748 2083757496