Search a number
-
+
5192495040 = 2635311491171
BaseRepresentation
bin1001101010111111…
…10010111111000000
3111101212121002010010
410311133302333000
541113234320130
62215125104520
7242450323335
oct46537627700
914355532103
105192495040
112225034417
12100ab58140
136499b8b95
1437388c98c
15205ccc0b0
hex1357f2fc0

5192495040 has 224 divisors, whose sum is σ = 17146828800. Its totient is φ = 1329868800.

The previous prime is 5192495029. The next prime is 5192495041. The reversal of 5192495040 is 405942915.

It is a super-3 number, since 3×51924950403 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5192495040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5192495041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4433655 + ... + 4434825.

Almost surely, 25192495040 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 5192495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8573414400).

5192495040 is an abundant number, since it is smaller than the sum of its proper divisors (11954333760).

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

5192495040 is a wasteful number, since it uses less digits than its factorization.

5192495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 5192495040 is about 72058.9691849668. The cubic root of 5192495040 is about 1731.6443363309.

The spelling of 5192495040 in words is "five billion, one hundred ninety-two million, four hundred ninety-five thousand, forty".