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3785028856 = 237232671907
BaseRepresentation
bin1110000110011010…
…1111010011111000
3100202210012101110221
43201212233103320
530222431410411
61423330145424
7162540133360
oct34146572370
910683171427
103785028856
111672606224
12897722274
13484224c5b
1427c9959a0
15172460071
hexe19af4f8

3785028856 has 96 divisors (see below), whose sum is σ = 8609811840. Its totient is φ = 1527666624.

The previous prime is 3785028839. The next prime is 3785028889. The reversal of 3785028856 is 6588205873.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1983855 + ... + 1985761.

It is an arithmetic number, because the mean of its divisors is an integer number (89685540).

Almost surely, 23785028856 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 3785028856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304905920).

3785028856 is an abundant number, since it is smaller than the sum of its proper divisors (4824782984).

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

3785028856 is a wasteful number, since it uses less digits than its factorization.

3785028856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 52.

The square root of 3785028856 is about 61522.5881770265. The cubic root of 3785028856 is about 1558.4387261602.

The spelling of 3785028856 in words is "three billion, seven hundred eighty-five million, twenty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 23 28 46 56 67 92 134 161 184 268 322 469 529 536 644 938 1058 1288 1541 1876 1907 2116 3082 3703 3752 3814 4232 6164 7406 7628 10787 12328 13349 14812 15256 21574 26698 29624 35443 43148 43861 53396 70886 86296 87722 106792 127769 141772 175444 248101 255538 283544 307027 350888 496202 511076 614054 894383 992404 1008803 1022152 1228108 1788766 1984808 2017606 2456216 2938687 3577532 4035212 5877374 7061621 7155064 8070424 11754748 14123242 20570809 23509496 28246484 41141618 56492968 67589801 82283236 135179602 164566472 270359204 473128607 540718408 946257214 1892514428 3785028856