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2493487104 = 21131723873
BaseRepresentation
bin1001010010011111…
…1001100000000000
320102202221021021020
42110213321200000
520101313041404
61051232025440
7115535201463
oct22447714000
96382837236
102493487104
11106a565849
12597092280
1330978bb74
141992372da
15e8d90ed9
hex949f9800

2493487104 has 96 divisors (see below), whose sum is σ = 7039010160. Its totient is φ = 782237696.

The previous prime is 2493487093. The next prime is 2493487133. The reversal of 2493487104 is 4017843942.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92512 + ... + 116384.

Almost surely, 22493487104 is an apocalyptic number.

2493487104 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 2493487104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519505080).

2493487104 is an abundant number, since it is smaller than the sum of its proper divisors (4545523056).

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

2493487104 is a wasteful number, since it uses less digits than its factorization.

2493487104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23915 (or 23895 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2493487104 is about 49934.8285668430. The cubic root of 2493487104 is about 1356.0292020408.

The spelling of 2493487104 in words is "two billion, four hundred ninety-three million, four hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4352 6144 6528 8704 13056 17408 23873 26112 34816 47746 52224 71619 95492 104448 143238 190984 286476 381968 405841 572952 763936 811682 1145904 1217523 1527872 1623364 2291808 2435046 3055744 3246728 4583616 4870092 6111488 6493456 9167232 9740184 12222976 12986912 18334464 19480368 24445952 25973824 36668928 38960736 48891904 51947648 73337856 77921472 103895296 146675712 155842944 207790592 311685888 415581184 623371776 831162368 1246743552 2493487104