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9972468 = 22321125183
BaseRepresentation
bin100110000010…
…101011110100
3200202122122200
4212002223310
510023104333
6553424500
7150523152
oct46025364
920678580
109972468
1156a1510
12340b130
1320b218c
1414783d2
15d1ec13
hex982af4

9972468 has 36 divisors (see below), whose sum is σ = 27500928. Its totient is φ = 3021840.

The previous prime is 9972451. The next prime is 9972497. The reversal of 9972468 is 8642799.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×99724682 = 198900236022048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12196 + ... + 12987.

Almost surely, 29972468 is an apocalyptic number.

It is an amenable number.

9972468 is an abundant number, since it is smaller than the sum of its proper divisors (17528460).

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

9972468 is a wasteful number, since it uses less digits than its factorization.

9972468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25204 (or 25199 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 9972468 is about 3157.9214683079. The cubic root of 9972468 is about 215.2455676183.

It can be divided in two parts, 9972 and 468, that added together give a triangular number (10440 = T144).

The spelling of 9972468 in words is "nine million, nine hundred seventy-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 25183 50366 75549 100732 151098 226647 277013 302196 453294 554026 831039 906588 1108052 1662078 2493117 3324156 4986234 9972468