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9978048 = 2632171019
BaseRepresentation
bin100110000100…
…000011000000
3200202221022100
4212010003000
510023244143
6553510400
7150545343
oct46040300
920687270
109978048
1156a5723
123412400
1320b4892
14147a45a
15d216d3
hex9840c0

9978048 has 84 divisors (see below), whose sum is σ = 30312360. Its totient is φ = 3127296.

The previous prime is 9978041. The next prime is 9978079. The reversal of 9978048 is 8408799.

It is a super-2 number, since 2×99780482 = 199122883780608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9977994 and 9978012.

It is not an unprimeable number, because it can be changed into a prime (9978041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9283 + ... + 10301.

Almost surely, 29978048 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 9978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15156180).

9978048 is an abundant number, since it is smaller than the sum of its proper divisors (20334312).

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

9978048 is a wasteful number, since it uses less digits than its factorization.

9978048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9978048 is about 3158.8048372763. The cubic root of 9978048 is about 215.2857063389.

It can be divided in two parts, 997 and 8048, that added together give a triangular number (9045 = T134).

The spelling of 9978048 in words is "nine million, nine hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1019 1088 1224 1632 2038 2448 3057 3264 4076 4896 6114 8152 9171 9792 12228 16304 17323 18342 24456 32608 34646 36684 48912 51969 65216 69292 73368 97824 103938 138584 146736 155907 195648 207876 277168 293472 311814 415752 554336 586944 623628 831504 1108672 1247256 1663008 2494512 3326016 4989024 9978048