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5408676 = 22327132127
BaseRepresentation
bin10100101000011110100100
3101011210022100
4110220132210
52341034201
6311532100
763654510
oct24503644
911153270
105408676
113064689
12198a030
131174b00
14a0b140
1571c886
hex5287a4

5408676 has 108 divisors (see below), whose sum is σ = 17052672. Its totient is φ = 1415232.

The previous prime is 5408671. The next prime is 5408701. The reversal of 5408676 is 6768045.

It is a happy number.

5408676 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5408676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5408671) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42525 + ... + 42651.

Almost surely, 25408676 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 5408676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8526336).

5408676 is an abundant number, since it is smaller than the sum of its proper divisors (11643996).

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

5408676 is a wasteful number, since it uses less digits than its factorization.

5408676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5408676 is about 2325.6560364766. The cubic root of 5408676 is about 175.5349724543.

It can be divided in two parts, 5408 and 676, that added together give a square (6084 = 782).

The spelling of 5408676 in words is "five million, four hundred eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 127 156 169 182 234 252 254 273 338 364 381 468 507 508 546 676 762 819 889 1014 1092 1143 1183 1521 1524 1638 1651 1778 2028 2286 2366 2667 3042 3276 3302 3549 3556 4572 4732 4953 5334 6084 6604 7098 8001 9906 10647 10668 11557 14196 14859 16002 19812 21294 21463 23114 29718 32004 34671 42588 42926 46228 59436 64389 69342 85852 104013 128778 138684 150241 193167 208026 257556 300482 386334 416052 450723 600964 772668 901446 1352169 1802892 2704338 5408676