Search a number
-
+
9952488 = 2332731331
BaseRepresentation
bin100101111101…
…110011101000
3200201122020200
4211331303220
510021434423
6553152200
7150411000
oct45756350
920648220
109952488
1156884a7
1233bb660
1320a6060
141471000
15d18d43
hex97dce8

9952488 has 192 divisors, whose sum is σ = 34944000. Its totient is φ = 2540160.

The previous prime is 9952483. The next prime is 9952489. The reversal of 9952488 is 8842599.

It is not an unprimeable number, because it can be changed into a prime (9952483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321033 + ... + 321063.

It is an arithmetic number, because the mean of its divisors is an integer number (182000).

Almost surely, 29952488 is an apocalyptic number.

9952488 is a gapful number since it is divisible by the number (98) 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 9952488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472000).

9952488 is an abundant number, since it is smaller than the sum of its proper divisors (24991512).

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

9952488 is a wasteful number, since it uses less digits than its factorization.

9952488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 56 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 9952488 is about 3154.7564089799. The cubic root of 9952488 is about 215.1017221913.

It can be divided in two parts, 9952 and 488, that added together give a triangular number (10440 = T144).

The spelling of 9952488 in words is "nine million, nine hundred fifty-two thousand, four hundred eighty-eight".