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7483980100 = 22524122112
BaseRepresentation
bin1101111100001010…
…00111100101000100
3201022120102120200011
412332011013211010
5110311344330400
63234343400004
7353313531652
oct67605074504
921276376604
107483980100
1131a056a023
12154a453004
1392366c3bc
1450dd41dd2
152dc06a8ba
hex1be147944

7483980100 has 81 divisors (see below), whose sum is σ = 16725266103. Its totient is φ = 2906736000.

The previous prime is 7483980083. The next prime is 7483980131. The reversal of 7483980100 is 10893847.

The square root of 7483980100 is 86510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3150127876 + 4333852224 = 56126^2 + 65832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35468995 + ... + 35469205.

Almost surely, 27483980100 is an apocalyptic number.

7483980100 is the 86510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7483980100

7483980100 is an abundant number, since it is smaller than the sum of its proper divisors (9241286003).

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

7483980100 is a wasteful number, since it uses less digits than its factorization.

7483980100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The cubic root of 7483980100 is about 1956.0391429277.

The spelling of 7483980100 in words is "seven billion, four hundred eighty-three million, nine hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 211 410 422 820 844 1025 1055 1681 2050 2110 3362 4100 4220 5275 6724 8405 8651 10550 16810 17302 21100 33620 34604 42025 43255 44521 84050 86510 89042 168100 173020 178084 216275 222605 354691 432550 445210 709382 865100 890420 1113025 1418764 1773455 1825361 2226050 3546910 3650722 4452100 7093820 7301444 8867275 9126805 17734550 18253610 35469100 36507220 45634025 74839801 91268050 149679602 182536100 299359204 374199005 748398010 1496796020 1870995025 3741990050 7483980100