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1004838640 = 24513966191
BaseRepresentation
bin111011111001001…
…001111011110000
32121000210002110221
4323321021323300
54024214314030
6243413102424
733620662501
oct7371117360
92530702427
101004838640
11476229163
12240627a14
131302426a0
149764aba8
155d339e7a
hex3be49ef0

1004838640 has 40 divisors (see below), whose sum is σ = 2515963968. Its totient is φ = 371016960.

The previous prime is 1004838623. The next prime is 1004838671. The reversal of 1004838640 is 468384001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1004838596 and 1004838605.

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, 482056 + ... + 484135.

Almost surely, 21004838640 is an apocalyptic number.

1004838640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004838640 is an abundant number, since it is smaller than the sum of its proper divisors (1511125328).

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

1004838640 is a wasteful number, since it uses less digits than its factorization.

1004838640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966217 (or 966211 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 1004838640 is about 31699.1898950115. The cubic root of 1004838640 is about 1001.6102855885.

The spelling of 1004838640 in words is "one billion, four million, eight hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 966191 1932382 3864764 4830955 7729528 9661910 12560483 15459056 19323820 25120966 38647640 50241932 62802415 77295280 100483864 125604830 200967728 251209660 502419320 1004838640