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5473632 = 253233767
BaseRepresentation
bin10100111000010101100000
3101022002102010
4110320111200
52400124012
6313152520
764345053
oct24702540
911262363
105473632
1130a946a
1219bb740
131198548
14a26a9a
15731c3c
hex538560

5473632 has 96 divisors (see below), whose sum is σ = 15628032. Its totient is φ = 1672704.

The previous prime is 5473631. The next prime is 5473661. The reversal of 5473632 is 2363745.

It is a tau number, because it is divible by the number of its divisors (96).

It is a d-powerful number, because it can be written as 5 + 45 + 76 + 312 + 65 + 314 + 215 .

Its product of digits (15120) is a multiple of the sum of its prime factors (140).

It is a self number, because there is not a number n which added to its sum of digits gives 5473632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5473631) 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, 81663 + ... + 81729.

It is an arithmetic number, because the mean of its divisors is an integer number (162792).

Almost surely, 25473632 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 5473632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814016).

5473632 is an abundant number, since it is smaller than the sum of its proper divisors (10154400).

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

5473632 is a wasteful number, since it uses less digits than its factorization.

5473632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its digits is 15120, while the sum is 30.

The square root of 5473632 is about 2339.5794493883. The cubic root of 5473632 is about 176.2348792420.

It can be divided in two parts, 5473 and 632, that added together give a triangular number (6105 = T110).

The spelling of 5473632 in words is "five million, four hundred seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 67 69 74 92 96 111 134 138 148 184 201 222 268 276 296 368 402 444 536 552 592 736 804 851 888 1072 1104 1184 1541 1608 1702 1776 2144 2208 2479 2553 3082 3216 3404 3552 4623 4958 5106 6164 6432 6808 7437 9246 9916 10212 12328 13616 14874 18492 19832 20424 24656 27232 29748 36984 39664 40848 49312 57017 59496 73968 79328 81696 114034 118992 147936 171051 228068 237984 342102 456136 684204 912272 1368408 1824544 2736816 5473632