Search a number
-
+
9252901840 = 2457132373757
BaseRepresentation
bin10001001111000010…
…00001001111010000
3212212211222010010011
420213201001033100
5122422220324330
64130053444304
7445203240130
oct104741011720
925784863104
109252901840
113a19027116
121962940694
13b45c9a760
1463ac48ac0
153924d582a
hex2278413d0

9252901840 has 320 divisors, whose sum is σ = 28044205056. Its totient is φ = 2759049216.

The previous prime is 9252901837. The next prime is 9252901919. The reversal of 9252901840 is 481092529.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 9252901793 and 9252901802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12222742 + ... + 12223498.

Almost surely, 29252901840 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 9252901840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14022102528).

9252901840 is an abundant number, since it is smaller than the sum of its proper divisors (18791303216).

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

9252901840 is a wasteful number, since it uses less digits than its factorization.

9252901840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 9252901840 is about 96192.0050731868. The cubic root of 9252901840 is about 2099.3877156772.

The spelling of 9252901840 in words is "nine billion, two hundred fifty-two million, nine hundred one thousand, eight hundred forty".