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2533908040 = 235526112041
BaseRepresentation
bin1001011100001000…
…0101111001001000
320112120222212100221
42113002011321020
520142140024130
61055234235424
7116535601666
oct22702057110
96476885327
102533908040
111090363684
125a8725b74
13314c72191
141a0759c36
15ec6c787a
hex97085e48

2533908040 has 32 divisors (see below), whose sum is σ = 5702850360. Its totient is φ = 1013286400.

The previous prime is 2533908029. The next prime is 2533908043. The reversal of 2533908040 is 408093352.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2356325764 + 177582276 = 48542^2 + 13326^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2533907987 and 2533908005.

It is not an unprimeable number, because it can be changed into a prime (2533908043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204420 + ... + 216460.

Almost surely, 22533908040 is an apocalyptic number.

2533908040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2533908040 is an abundant number, since it is smaller than the sum of its proper divisors (3168942320).

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

2533908040 is a wasteful number, since it uses less digits than its factorization.

2533908040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17313 (or 17309 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 2533908040 is about 50337.9383765366. The cubic root of 2533908040 is about 1363.3173127297.

The spelling of 2533908040 in words is "two billion, five hundred thirty-three million, nine hundred eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 5261 10522 12041 21044 24082 26305 42088 48164 52610 60205 96328 105220 120410 210440 240820 481640 63347701 126695402 253390804 316738505 506781608 633477010 1266954020 2533908040