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3887142240 = 25358098213
BaseRepresentation
bin1110011110110001…
…0001010101100000
3101000220100021201010
43213230101111200
530430102022430
61441414540520
7165220110132
oct34754212540
911026307633
103887142240
111715210553
12905967740
1349c428687
1428c377052
1517b3d0cb0
hexe7b11560

3887142240 has 48 divisors (see below), whose sum is σ = 12244499568. Its totient is φ = 1036571136.

The previous prime is 3887142229. The next prime is 3887142299. The reversal of 3887142240 is 422417883.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4048627 + ... + 4049586.

It is an arithmetic number, because the mean of its divisors is an integer number (255093741).

Almost surely, 23887142240 is an apocalyptic number.

3887142240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3887142240 is an abundant number, since it is smaller than the sum of its proper divisors (8357357328).

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

3887142240 is a wasteful number, since it uses less digits than its factorization.

3887142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8098231 (or 8098223 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 3887142240 is about 62346.9505268702. The cubic root of 3887142240 is about 1572.3291918509.

The spelling of 3887142240 in words is "three billion, eight hundred eighty-seven million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8098213 16196426 24294639 32392852 40491065 48589278 64785704 80982130 97178556 121473195 129571408 161964260 194357112 242946390 259142816 323928520 388714224 485892780 647857040 777428448 971785560 1295714080 1943571120 3887142240