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9720048 = 2431337421
BaseRepresentation
bin100101000101…
…000011110000
3200021211101210
4211011003300
54442020143
6544200120
7145422222
oct45050360
920254353
109720048
1155398a8
123309040
132024310
141410412
15cc0033
hex9450f0

9720048 has 80 divisors (see below), whose sum is σ = 27838496. Its totient is φ = 2903040.

The previous prime is 9720043. The next prime is 9720083. The reversal of 9720048 is 8400279.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 9719997 and 9720024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9720043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22878 + ... + 23298.

Almost surely, 29720048 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 9720048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13919248).

9720048 is an abundant number, since it is smaller than the sum of its proper divisors (18118448).

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

9720048 is a wasteful number, since it uses less digits than its factorization.

9720048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 9720048 is about 3117.6991516181. The cubic root of 9720048 is about 213.4139495669.

It can be divided in two parts, 97200 and 48, that multiplied together give a square (4665600 = 21602).

The spelling of 9720048 in words is "nine million, seven hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 421 444 481 592 624 842 888 962 1263 1443 1684 1776 1924 2526 2886 3368 3848 5052 5473 5772 6736 7696 10104 10946 11544 15577 16419 20208 21892 23088 31154 32838 43784 46731 62308 65676 87568 93462 124616 131352 186924 202501 249232 262704 373848 405002 607503 747696 810004 1215006 1620008 2430012 3240016 4860024 9720048