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3995612640 = 253252774731
BaseRepresentation
bin1110111000101000…
…0011010111100000
3101022110110011010100
43232022003113200
531140334101030
61500251502400
7201005101305
oct35612032740
911273404110
103995612640
111770467a08
12936157a00
134b8a46746
1429c9310ac
15185baa360
hexee2835e0

3995612640 has 72 divisors (see below), whose sum is σ = 13635033048. Its totient is φ = 1065496320.

The previous prime is 3995612617. The next prime is 3995612681. The reversal of 3995612640 is 462165993.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1385926 + ... + 1388805.

It is an arithmetic number, because the mean of its divisors is an integer number (189375459).

Almost surely, 23995612640 is an apocalyptic number.

3995612640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3995612640 is an abundant number, since it is smaller than the sum of its proper divisors (9639420408).

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

3995612640 is a wasteful number, since it uses less digits than its factorization.

3995612640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774752 (or 2774741 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3995612640 is about 63210.8585608517. The cubic root of 3995612640 is about 1586.8204646560.

The spelling of 3995612640 in words is "three billion, nine hundred ninety-five million, six hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2774731 5549462 8324193 11098924 13873655 16648386 22197848 24972579 27747310 33296772 41620965 44395696 49945158 55494620 66593544 83241930 88791392 99890316 110989240 124862895 133187088 166483860 199780632 221978480 249725790 266374176 332967720 399561264 443956960 499451580 665935440 799122528 998903160 1331870880 1997806320 3995612640