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4089692106 = 234533731277
BaseRepresentation
bin1111001111000011…
…1011111111001010
3101120000110212220000
43303300323333022
531333430121411
61513452143430
7203226544413
oct36360737712
911500425800
104089692106
111809585235
12961767b76
13502396476
142ab22080a
1518e090956
hexf3c3bfca

4089692106 has 80 divisors (see below), whose sum is σ = 9369207144. Its totient is φ = 1332878976.

The previous prime is 4089692051. The next prime is 4089692111. The reversal of 4089692106 is 6012969804.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3963332025 + 126360081 = 62955^2 + 11241^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3201940 + ... + 3203216.

Almost surely, 24089692106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4089692106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684603572).

4089692106 is an abundant number, since it is smaller than the sum of its proper divisors (5279515038).

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

4089692106 is a wasteful number, since it uses less digits than its factorization.

4089692106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4089692106 is about 63950.7005903766. The cubic root of 4089692106 is about 1599.1782376493.

The spelling of 4089692106 in words is "four billion, eighty-nine million, six hundred ninety-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 373 477 746 954 1119 1277 1431 2238 2554 2862 3357 3831 4293 6714 7662 8586 10071 11493 19769 20142 22986 30213 34479 39538 59307 60426 67681 68958 103437 118614 135362 177921 203043 206874 355842 406086 476321 533763 609129 952642 1067526 1218258 1428963 1601289 1827387 2857926 3202578 3654774 4286889 5482161 8573778 10964322 12860667 25245013 25721334 38582001 50490026 75735039 77164002 151470078 227205117 454410234 681615351 1363230702 2044846053 4089692106