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2468557780 = 2251373831567
BaseRepresentation
bin1001001100100011…
…0011001111010100
320101001000201122221
42103020303033110
520023422322110
61044541432124
7115113252313
oct22310631724
96331021587
102468557780
111057488aa7
1258a86b644
13304570ba0
14195bc827a
15e6ab97da
hex932333d4

2468557780 has 96 divisors (see below), whose sum is σ = 5731052544. Its totient is φ = 887583744.

The previous prime is 2468557769. The next prime is 2468557783. The reversal of 2468557780 is 877558642.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468557783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1574557 + ... + 1576123.

It is an arithmetic number, because the mean of its divisors is an integer number (59698464).

Almost surely, 22468557780 is an apocalyptic number.

2468557780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2468557780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865526272).

2468557780 is an abundant number, since it is smaller than the sum of its proper divisors (3262494764).

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

2468557780 is a wasteful number, since it uses less digits than its factorization.

2468557780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 52.

The square root of 2468557780 is about 49684.5829206606. The cubic root of 2468557780 is about 1351.4949657471.

The spelling of 2468557780 in words is "two billion, four hundred sixty-eight million, five hundred fifty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 83 130 146 166 260 292 332 365 415 730 830 949 1079 1460 1567 1660 1898 2158 3134 3796 4316 4745 5395 6059 6268 7835 9490 10790 12118 15670 18980 20371 21580 24236 30295 31340 40742 60590 78767 81484 101855 114391 121180 130061 157534 203710 228782 260122 315068 393835 407420 457564 520244 571955 650305 787670 1143910 1300610 1487083 1575340 1690793 2287820 2601220 2974166 3381586 5948332 6763172 7435415 8453965 9494453 14870830 16907930 18988906 29741660 33815860 37977812 47472265 94944530 123427889 189889060 246855778 493711556 617139445 1234278890 2468557780