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2538207984 = 2431317239273
BaseRepresentation
bin1001011101001001…
…1111101011110000
320112220002022210010
42113102133223300
520144240123414
61055510334520
7116620261164
oct22722375360
96486068703
102538207984
111092830254
125aa05a440
13315b19420
141a1158ca4
15ecc76959
hex9749faf0

2538207984 has 80 divisors (see below), whose sum is σ = 7476833952. Its totient is φ = 735043584.

The previous prime is 2538207983. The next prime is 2538208027. The reversal of 2538207984 is 4897028352.

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 (2538207983) 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, 109029 + ... + 130244.

Almost surely, 22538207984 is an apocalyptic number.

2538207984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2538207984 is an abundant number, since it is smaller than the sum of its proper divisors (4938625968).

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

2538207984 is a wasteful number, since it uses less digits than its factorization.

2538207984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239314 (or 239308 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 2538207984 is about 50380.6310401130. The cubic root of 2538207984 is about 1364.0880425220.

The spelling of 2538207984 in words is "two billion, five hundred thirty-eight million, two hundred seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 5304 10608 239273 478546 717819 957092 1435638 1914184 2871276 3110549 3828368 4067641 5742552 6221098 8135282 9331647 11485104 12202923 12442196 16270564 18663294 24405846 24884392 32541128 37326588 48811692 49768784 52879333 65082256 74653176 97623384 105758666 149306352 158637999 195246768 211517332 317275998 423034664 634551996 846069328 1269103992 2538207984