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3856893696 = 28324735617
BaseRepresentation
bin1110010111100011…
…1000011100000000
3100221210102111111200
43211320320130000
530344331044241
61434414341200
7164402025015
oct34570703400
910853374450
103856893696
1116aa130357
128b77ba800
13496097526
1428834170c
151789084b6
hexe5e38700

3856893696 has 108 divisors (see below), whose sum is σ = 11357297952. Its totient is φ = 1258242048.

The previous prime is 3856893673. The next prime is 3856893697. The reversal of 3856893696 is 6963986583.

3856893696 is a `hidden beast` number, since 3 + 8 + 568 + 9 + 3 + 69 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3856893697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90480 + ... + 126096.

Almost surely, 23856893696 is an apocalyptic number.

3856893696 is a gapful number since it is divisible by the number (36) 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 3856893696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5678648976).

3856893696 is an abundant number, since it is smaller than the sum of its proper divisors (7500404256).

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

3856893696 is a wasteful number, since it uses less digits than its factorization.

3856893696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35686 (or 35669 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The square root of 3856893696 is about 62103.8943706431. The cubic root of 3856893696 is about 1568.2401062269.

The spelling of 3856893696 in words is "three billion, eight hundred fifty-six million, eight hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 564 576 752 768 846 1128 1152 1504 1692 2256 2304 3008 3384 4512 6016 6768 9024 12032 13536 18048 27072 35617 36096 54144 71234 106851 108288 142468 213702 284936 320553 427404 569872 641106 854808 1139744 1282212 1673999 1709616 2279488 2564424 3347998 3419232 4558976 5021997 5128848 6695996 6838464 9117952 10043994 10257696 13391992 13676928 15065991 20087988 20515392 26783984 27353856 30131982 40175976 41030784 53567968 60263964 80351952 82061568 107135936 120527928 160703904 214271872 241055856 321407808 428543744 482111712 642815616 964223424 1285631232 1928446848 3856893696