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8402240096 = 2553101181271
BaseRepresentation
bin1111101001101000…
…00000001001100000
3210200120022000120122
413310310000021200
5114201433140341
63505425055412
7415133601545
oct76464001140
923616260518
108402240096
113621933388
121765a87568
13a3b98a203
14599c92bcc
153429a294b
hex1f4d00260

8402240096 has 96 divisors (see below), whose sum is σ = 17178086016. Its totient is φ = 4043520000.

The previous prime is 8402240087. The next prime is 8402240107. The reversal of 8402240096 is 6900422048.

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, 31004441 + ... + 31004711.

It is an arithmetic number, because the mean of its divisors is an integer number (178938396).

Almost surely, 28402240096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8402240096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8589043008).

8402240096 is an abundant number, since it is smaller than the sum of its proper divisors (8775845920).

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

8402240096 is a wasteful number, since it uses less digits than its factorization.

8402240096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 8402240096 is about 91663.7338100516. The cubic root of 8402240096 is about 2032.9733979988.

The spelling of 8402240096 in words is "eight billion, four hundred two million, two hundred forty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 53 101 106 181 202 212 271 362 404 424 542 724 808 848 1084 1448 1616 1696 2168 2896 3232 4336 5353 5792 8672 9593 10706 14363 18281 19186 21412 27371 28726 36562 38372 42824 49051 54742 57452 73124 76744 85648 98102 109484 114904 146248 153488 171296 196204 218968 229808 292496 306976 392408 437936 459616 584992 784816 875872 968893 1450663 1569632 1937786 2599703 2901326 3875572 4954151 5199406 5802652 7751144 9908302 10398812 11605304 15502288 19816604 20797624 23210608 31004576 39633208 41595248 46421216 79266416 83190496 158532832 262570003 525140006 1050280012 2100560024 4201120048 8402240096