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9993552 = 2431737331
BaseRepresentation
bin100110000111…
…110101010000
3200210201120120
4212013311100
510024243202
6554110240
7150641502
oct46076520
920721516
109993552
115706338
12341b380
1320bb95a
141481d72
15d260bc
hex987d50

9993552 has 80 divisors (see below), whose sum is σ = 28158912. Its totient is φ = 3041280.

The previous prime is 9993551. The next prime is 9993611. The reversal of 9993552 is 2553999.

It is a d-powerful number, because it can be written as 92 + 93 + 94 + 313 + 53 + 55 + 223 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9993551) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30027 + ... + 30357.

Almost surely, 29993552 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 9993552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14079456).

9993552 is an abundant number, since it is smaller than the sum of its proper divisors (18165360).

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

9993552 is a wasteful number, since it uses less digits than its factorization.

9993552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its digits is 109350, while the sum is 42.

The square root of 9993552 is about 3161.2579774514. The cubic root of 9993552 is about 215.3971530640.

The spelling of 9993552 in words is "nine million, nine hundred ninety-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 68 74 102 111 136 148 204 222 272 296 331 408 444 592 629 662 816 888 993 1258 1324 1776 1887 1986 2516 2648 3774 3972 5032 5296 5627 7548 7944 10064 11254 12247 15096 15888 16881 22508 24494 30192 33762 36741 45016 48988 67524 73482 90032 97976 135048 146964 195952 208199 270096 293928 416398 587856 624597 832796 1249194 1665592 2498388 3331184 4996776 9993552