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3789421056 = 293491373
BaseRepresentation
bin1110000111011101…
…1111101000000000
3100210002110112110000
43201313133220000
530230042433211
61424004240000
7162622355541
oct34167375000
910702415400
103789421056
111675036143
128990a0000
134851021a5
1427d3ba4c8
15172a2b656
hexe1ddfa00

3789421056 has 100 divisors (see below), whose sum is σ = 11310547842. Its totient is φ = 1263126528.

The previous prime is 3789421049. The next prime is 3789421073. The reversal of 3789421056 is 6501249873.

3789421056 is digitally balanced in base 2 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2057529600 + 1731891456 = 45360^2 + 41616^2 .

3789421056 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4215 + ... + 87158.

It is a 1-persistent number, because it is pandigital, but 2⋅3789421056 = 7578842112 is not.

Almost surely, 23789421056 is an apocalyptic number.

3789421056 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 3789421056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655273921).

3789421056 is an abundant number, since it is smaller than the sum of its proper divisors (7521126786).

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

3789421056 is an frugal number, since it uses more digits than its factorization.

3789421056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91403 (or 91378 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3789421056 is about 61558.2736600045. The cubic root of 3789421056 is about 1559.0413044470.

The spelling of 3789421056 in words is "three billion, seven hundred eighty-nine million, four hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 13824 20736 41472 91373 182746 274119 365492 548238 730984 822357 1096476 1461968 1644714 2192952 2467071 2923936 3289428 4385904 4934142 5847872 6578856 7401213 8771808 9868284 11695744 13157712 14802426 17543616 19736568 23391488 26315424 29604852 35087232 39473136 46782976 52630848 59209704 70174464 78946272 105261696 118419408 140348928 157892544 210523392 236838816 315785088 421046784 473677632 631570176 947355264 1263140352 1894710528 3789421056