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3682051048 = 23132314910331
BaseRepresentation
bin1101101101110111…
…1010001111101000
3100111121102120111001
43123131322033220
530020101113143
61405211044344
7160146626464
oct33335721750
910447376431
103682051048
11161a4704a5
128691406b4
13468aaac40
1426d02b4a4
151683bd14d
hexdb77a3e8

3682051048 has 64 divisors (see below), whose sum is σ = 7810992000. Its totient is φ = 1614455040.

The previous prime is 3682051019. The next prime is 3682051057. The reversal of 3682051048 is 8401502863.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3682050998 and 3682051016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351243 + ... + 361573.

It is an arithmetic number, because the mean of its divisors is an integer number (122046750).

Almost surely, 23682051048 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 3682051048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905496000).

3682051048 is an abundant number, since it is smaller than the sum of its proper divisors (4128940952).

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

3682051048 is a wasteful number, since it uses less digits than its factorization.

3682051048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10522 (or 10518 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 3682051048 is about 60679.9064600466. The cubic root of 3682051048 is about 1544.1753013575.

The spelling of 3682051048 in words is "three billion, six hundred eighty-two million, fifty-one thousand, forty-eight".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 149 184 298 299 596 598 1192 1196 1937 2392 3427 3874 6854 7748 10331 13708 15496 20662 27416 41324 44551 82648 89102 134303 178204 237613 268606 356408 475226 537212 950452 1074424 1539319 1900904 3078638 3088969 6157276 6177938 12314552 12355876 20011147 24711752 35404337 40022294 70808674 80044588 141617348 160089176 283234696 460256381 920512762 1841025524 3682051048