Search a number
-
+
39848640 = 26351331103
BaseRepresentation
bin1001100000000…
…0101011000000
32202222112001120
42120000223000
540200124030
63542032240
7662464536
oct230005300
982875046
1039848640
1120547967
1211418680
1383429a0
145414156
153772010
hex2600ac0

39848640 has 224 divisors, whose sum is σ = 142012416. Its totient is φ = 9400320.

The previous prime is 39848623. The next prime is 39848651. The reversal of 39848640 is 4684893.

It is a junction number, because it is equal to n+sod(n) for n = 39848592 and 39848601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386829 + ... + 386931.

It is an arithmetic number, because the mean of its divisors is an integer number (633984).

Almost surely, 239848640 is an apocalyptic number.

39848640 is a gapful number since it is divisible by the number (30) 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 39848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71006208).

39848640 is an abundant number, since it is smaller than the sum of its proper divisors (102163776).

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

39848640 is a wasteful number, since it uses less digits than its factorization.

39848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 39848640 is about 6312.5779203112. The cubic root of 39848640 is about 341.5632741552.

The spelling of 39848640 in words is "thirty-nine million, eight hundred forty-eight thousand, six hundred forty".