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2805390040 = 235238336739
BaseRepresentation
bin1010011100110110…
…1101101011011000
321020111211120122211
42213031231223120
521221134440130
61142213124504
7126343264465
oct24715555330
97214746584
102805390040
11120a62a072
12663629734
1335929670b
141c882866c
15116451a2a
hexa736dad8

2805390040 has 64 divisors (see below), whose sum is σ = 6666105600. Its totient is φ = 1060405632.

The previous prime is 2805389999. The next prime is 2805390079. The reversal of 2805390040 is 400935082.

It is a junction number, because it is equal to n+sod(n) for n = 2805389984 and 2805390011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57991 + ... + 94729.

It is an arithmetic number, because the mean of its divisors is an integer number (104157900).

Almost surely, 22805390040 is an apocalyptic number.

2805390040 is a gapful number since it is divisible by the number (20) 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 2805390040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333052800).

2805390040 is an abundant number, since it is smaller than the sum of its proper divisors (3860715560).

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

2805390040 is a wasteful number, since it uses less digits than its factorization.

2805390040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36856 (or 36852 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 2805390040 is about 52965.9328247884. The cubic root of 2805390040 is about 1410.3635767477.

The spelling of 2805390040 in words is "two billion, eight hundred five million, three hundred ninety thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 83 92 115 166 184 230 332 415 460 664 830 920 1660 1909 3320 3818 7636 9545 15272 19090 36739 38180 73478 76360 146956 183695 293912 367390 734780 844997 1469560 1689994 3049337 3379988 4224985 6098674 6759976 8449970 12197348 15246685 16899940 24394696 30493370 33799880 60986740 70134751 121973480 140269502 280539004 350673755 561078008 701347510 1402695020 2805390040