Search a number
-
+
952644420 = 22325713193061
BaseRepresentation
bin111000110010000…
…011001101000100
32110101120100110200
4320302003031010
53422334110140
6234310250500
732415225660
oct7062031504
92411510420
10952644420
11449819942
12227056a30
13122499630
14907418a0
155897a030
hex38c83344

952644420 has 288 divisors, whose sum is σ = 3744948480. Its totient is φ = 190356480.

The previous prime is 952644361. The next prime is 952644421. The reversal of 952644420 is 24446259.

952644420 is a `hidden beast` number, since 9 + 5 + 2 + 644 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (952644421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309690 + ... + 312750.

Almost surely, 2952644420 is an apocalyptic number.

952644420 is a gapful number since it is divisible by the number (90) 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 952644420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872474240).

952644420 is an abundant number, since it is smaller than the sum of its proper divisors (2792304060).

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

952644420 is a wasteful number, since it uses less digits than its factorization.

952644420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 952644420 is about 30864.9383605411. The cubic root of 952644420 is about 983.9588645306.

The spelling of 952644420 in words is "nine hundred fifty-two million, six hundred forty-four thousand, four hundred twenty".