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5468472 = 23352997
BaseRepresentation
bin10100110111000100111000
3101021211100000
4110313010320
52344442342
6313113000
764324032
oct24670470
911254300
105468472
1130a55a9
1219b8760
1311960a9
14a24c52
1573044c
hex537138

5468472 has 96 divisors (see below), whose sum is σ = 16052400. Its totient is φ = 1741824.

The previous prime is 5468417. The next prime is 5468483. The reversal of 5468472 is 2748645.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 56328 + ... + 56424.

Almost surely, 25468472 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 5468472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8026200).

5468472 is an abundant number, since it is smaller than the sum of its proper divisors (10583928).

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

5468472 is a wasteful number, since it uses less digits than its factorization.

5468472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 5468472 is about 2338.4764270781. The cubic root of 5468472 is about 176.1794828811.

It can be divided in two parts, 54684 and 72, that added together give a square (54756 = 2342).

The spelling of 5468472 in words is "five million, four hundred sixty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 97 108 116 162 174 194 216 232 243 261 291 324 348 388 486 522 582 648 696 776 783 873 972 1044 1164 1566 1746 1944 2088 2328 2349 2619 2813 3132 3492 4698 5238 5626 6264 6984 7047 7857 8439 9396 10476 11252 14094 15714 16878 18792 20952 22504 23571 25317 28188 31428 33756 47142 50634 56376 62856 67512 75951 94284 101268 151902 188568 202536 227853 303804 455706 607608 683559 911412 1367118 1822824 2734236 5468472