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2575830040 = 235721314199
BaseRepresentation
bin1001100110001000…
…0000110000011000
320122111212201112121
42121202000300120
520233403030130
61103332551024
7120555123400
oct23142006030
96574781477
102575830040
111101a97263
125ba782474
1332085c7b4
141a614d800
15101208d7a
hex99880c18

2575830040 has 48 divisors (see below), whose sum is σ = 6741846000. Its totient is φ = 883141056.

The previous prime is 2575830017. The next prime is 2575830041. The reversal of 2575830040 is 400385752.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2575829978 and 2575830005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2575830041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 655140 + ... + 659059.

It is an arithmetic number, because the mean of its divisors is an integer number (140455125).

Almost surely, 22575830040 is an apocalyptic number.

2575830040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2575830040 is an abundant number, since it is smaller than the sum of its proper divisors (4166015960).

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

2575830040 is a wasteful number, since it uses less digits than its factorization.

2575830040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314224 (or 1314213 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 2575830040 is about 50752.6357936216. The cubic root of 2575830040 is about 1370.7946514914.

The spelling of 2575830040 in words is "two billion, five hundred seventy-five million, eight hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 1314199 2628398 5256796 6570995 9199393 10513592 13141990 18398786 26283980 36797572 45996965 52567960 64395751 73595144 91993930 128791502 183987860 257583004 321978755 367975720 515166008 643957510 1287915020 2575830040