Search a number
-
+
39952422120 = 233513416131019
BaseRepresentation
bin100101001101010110…
…011001010011101000
310211010100112022220210
4211031112121103220
51123310310001440
630204235021120
72613025661532
oct451526312350
9124110468823
1039952422120
1115a42112086
1278abb9a7a0
1339c9264780
141d10144852
15108c739a80
hex94d5994e8

39952422120 has 256 divisors, whose sum is σ = 132570950400. Its totient is φ = 9569525760.

The previous prime is 39952422053. The next prime is 39952422149. The reversal of 39952422120 is 2122425993.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39206971 + ... + 39207989.

It is an arithmetic number, because the mean of its divisors is an integer number (517855275).

Almost surely, 239952422120 is an apocalyptic number.

39952422120 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 39952422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66285475200).

39952422120 is an abundant number, since it is smaller than the sum of its proper divisors (92618528280).

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

39952422120 is a wasteful number, since it uses less digits than its factorization.

39952422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 39952422120 in words is "thirty-nine billion, nine hundred fifty-two million, four hundred twenty-two thousand, one hundred twenty".