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3857891040 = 253252679091
BaseRepresentation
bin1110010111110010…
…1011111011100000
3100221212022011121100
43211330223323200
530400110003130
61434451554400
7164413350513
oct34574537340
910855264540
103857891040
1116aa751703
128b7bbba00
13496356483
14288520d7a
15178a53c60
hexe5f2bee0

3857891040 has 72 divisors (see below), whose sum is σ = 13165058088. Its totient is φ = 1028770560.

The previous prime is 3857891029. The next prime is 3857891047. The reversal of 3857891040 is 401987583.

3857891040 is a `hidden beast` number, since 38 + 578 + 9 + 1 + 0 + 40 = 666.

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 not an unprimeable number, because it can be changed into a prime (3857891047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1338106 + ... + 1340985.

It is an arithmetic number, because the mean of its divisors is an integer number (182848029).

Almost surely, 23857891040 is an apocalyptic number.

3857891040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3857891040 is an abundant number, since it is smaller than the sum of its proper divisors (9307167048).

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

3857891040 is a wasteful number, since it uses less digits than its factorization.

3857891040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679112 (or 2679101 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3857891040 is about 62111.9234929977. The cubic root of 3857891040 is about 1568.3752702722.

The spelling of 3857891040 in words is "three billion, eight hundred fifty-seven million, eight hundred ninety-one thousand, 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 2679091 5358182 8037273 10716364 13395455 16074546 21432728 24111819 26790910 32149092 40186365 42865456 48223638 53581820 64298184 80372730 85730912 96447276 107163640 120559095 128596368 160745460 192894552 214327280 241118190 257192736 321490920 385789104 428654560 482236380 642981840 771578208 964472760 1285963680 1928945520 3857891040