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9988407 = 3311132199
BaseRepresentation
bin100110000110…
…100100110111
3200210110112000
4212012210313
510024112112
6554030343
7150620502
oct46064467
920713460
109988407
115702490
1234183b3
1320b9500
141480139
15d247dc
hex986937

9988407 has 48 divisors (see below), whose sum is σ = 17568000. Its totient is φ = 5559840.

The previous prime is 9988403. The next prime is 9988411. The reversal of 9988407 is 7048899.

9988407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9988403) and next prime (9988411).

It is not a de Polignac number, because 9988407 - 22 = 9988403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9988403) 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, 50094 + ... + 50292.

It is an arithmetic number, because the mean of its divisors is an integer number (366000).

Almost surely, 29988407 is an apocalyptic number.

9988407 is a deficient number, since it is larger than the sum of its proper divisors (7579593).

9988407 is a wasteful number, since it uses less digits than its factorization.

9988407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

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

The square root of 9988407 is about 3160.4441143611. Note that the first 3 decimals coincide. The cubic root of 9988407 is about 215.3601822723.

The spelling of 9988407 in words is "nine million, nine hundred eighty-eight thousand, four hundred seven".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 169 199 297 351 429 507 597 1287 1521 1791 1859 2189 2587 3861 4563 5373 5577 6567 7761 16731 19701 23283 28457 33631 50193 59103 69849 85371 100893 256113 302679 369941 768339 908037 1109823 3329469 9988407