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3890808576 = 283212713297
BaseRepresentation
bin1110011111101001…
…0000011100000000
3101001011020112222100
43213322100130000
530432021333301
61442025310400
7165263220144
oct34772203400
911034215870
103890808576
111717295086
12907035400
134a01103c5
1428ca4d224
1517b8a7286
hexe7e90700

3890808576 has 108 divisors (see below), whose sum is σ = 11307342592. Its totient is φ = 1286627328.

The previous prime is 3890808569. The next prime is 3890808601. The reversal of 3890808576 is 6758080983.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 285960 + ... + 299256.

Almost surely, 23890808576 is an apocalyptic number.

3890808576 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 3890808576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653671296).

3890808576 is an abundant number, since it is smaller than the sum of its proper divisors (7416534016).

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

3890808576 is a wasteful number, since it uses less digits than its factorization.

3890808576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13446 (or 13429 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 3890808576 is about 62376.3462860723. The cubic root of 3890808576 is about 1572.8233745781.

The spelling of 3890808576 in words is "three billion, eight hundred ninety million, eight hundred eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 381 384 508 576 762 768 1016 1143 1152 1524 2032 2286 2304 3048 4064 4572 6096 8128 9144 12192 13297 16256 18288 24384 26594 32512 36576 39891 48768 53188 73152 79782 97536 106376 119673 146304 159564 212752 239346 292608 319128 425504 478692 638256 851008 957384 1276512 1688719 1702016 1914768 2553024 3377438 3404032 3829536 5066157 5106048 6754876 7659072 10132314 10212096 13509752 15198471 15318144 20264628 27019504 30396942 30636288 40529256 54039008 60793884 81058512 108078016 121587768 162117024 216156032 243175536 324234048 432312064 486351072 648468096 972702144 1296936192 1945404288 3890808576