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9972414 = 232678269
BaseRepresentation
bin100110000010…
…101010111110
3200202122120200
4212002222332
510023104124
6553424330
7150523044
oct46025276
920678520
109972414
1156a1471
12340b0a6
1320b214a
141478394
15d1ebc9
hex982abe

9972414 has 24 divisors (see below), whose sum is σ = 21932040. Its totient is φ = 3274128.

The previous prime is 9972401. The next prime is 9972439. The reversal of 9972414 is 4142799.

9972414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2929 + ... + 5340.

It is an arithmetic number, because the mean of its divisors is an integer number (913835).

Almost surely, 29972414 is an apocalyptic number.

9972414 is an abundant number, since it is smaller than the sum of its proper divisors (11959626).

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

9972414 is a wasteful number, since it uses less digits than its factorization.

9972414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8344 (or 8341 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 9972414 is about 3157.9129183687. The cubic root of 9972414 is about 215.2451791059.

The spelling of 9972414 in words is "nine million, nine hundred seventy-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 67 134 201 402 603 1206 8269 16538 24807 49614 74421 148842 554023 1108046 1662069 3324138 4986207 9972414