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3892444928 = 2823719311
BaseRepresentation
bin1110100000000001…
…1111111100000000
3101001021022200121222
43220000133330000
530432431214203
61442124334212
7165313143641
oct35000377400
911037280558
103892444928
111718202539
129076a4368
134a0564168
1428cd576c8
1517bacc038
hexe801ff00

3892444928 has 72 divisors (see below), whose sum is σ = 8222570496. Its totient is φ = 1835187200.

The previous prime is 3892444903. The next prime is 3892444943. The reversal of 3892444928 is 8294442983.

It is a super-2 number, since 2×38924449282 = 30302255035025850368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3892444928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 413393 + ... + 422703.

It is an arithmetic number, because the mean of its divisors is an integer number (114202368).

Almost surely, 23892444928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3892444928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111285248).

3892444928 is an abundant number, since it is smaller than the sum of its proper divisors (4330125568).

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

3892444928 is an equidigital number, since it uses as much as digits as its factorization.

3892444928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9421 (or 9407 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 53.

The square root of 3892444928 is about 62389.4616742283. The cubic root of 3892444928 is about 1573.0438370607.

The spelling of 3892444928 in words is "three billion, eight hundred ninety-two million, four hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 71 92 128 142 184 256 284 368 568 736 1136 1472 1633 2272 2944 3266 4544 5888 6532 9088 9311 13064 18176 18622 26128 37244 52256 74488 104512 148976 209024 214153 297952 418048 428306 595904 661081 856612 1191808 1322162 1713224 2383616 2644324 3426448 5288648 6852896 10577296 13705792 15204863 21154592 27411584 30409726 42309184 54823168 60819452 84618368 121638904 169236736 243277808 486555616 973111232 1946222464 3892444928