Search a number
-
+
2049366864 = 243175034993
BaseRepresentation
bin111101000100110…
…1101101101010000
312021211020121211110
41322021231231100
513144114214424
6535205013320
7101533221336
oct17211555520
95254217743
102049366864
119618a5726
124923b4240
1326877051c
14156269b56
15bedb4c29
hex7a26db50

2049366864 has 80 divisors (see below), whose sum is σ = 5617890432. Its totient is φ = 641531904.

The previous prime is 2049366863. The next prime is 2049366899. The reversal of 2049366864 is 4686639402.

It is a super-2 number, since 2×20493668642 = 8399809086522388992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049366863) 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, 407952 + ... + 412944.

Almost surely, 22049366864 is an apocalyptic number.

2049366864 is a gapful number since it is divisible by the number (24) 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 2049366864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808945216).

2049366864 is an abundant number, since it is smaller than the sum of its proper divisors (3568523568).

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

2049366864 is a wasteful number, since it uses less digits than its factorization.

2049366864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5524 (or 5518 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The square root of 2049366864 is about 45269.9333332842. The cubic root of 2049366864 is about 1270.2032997543.

The spelling of 2049366864 in words is "two billion, forty-nine million, three hundred sixty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 503 816 1006 1509 2012 3018 4024 4993 6036 8048 8551 9986 12072 14979 17102 19972 24144 25653 29958 34204 39944 51306 59916 68408 79888 84881 102612 119832 136816 169762 205224 239664 254643 339524 410448 509286 679048 1018572 1358096 2037144 2511479 4074288 5022958 7534437 10045916 15068874 20091832 30137748 40183664 42695143 60275496 85390286 120550992 128085429 170780572 256170858 341561144 512341716 683122288 1024683432 2049366864