Search a number
-
+
5455600 = 245223593
BaseRepresentation
bin10100110011111011110000
3101021011200021
4110303323300
52344034400
6312533224
764241353
oct24637360
911234607
105455600
113096967
1219b1214
131190287
14a2029a
1572b71a
hex533ef0

5455600 has 60 divisors (see below), whose sum is σ = 13700016. Its totient is φ = 2083840.

The previous prime is 5455591. The next prime is 5455607. The reversal of 5455600 is 65545.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5455607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8904 + ... + 9496.

Almost surely, 25455600 is an apocalyptic number.

5455600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5455600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850008).

5455600 is an abundant number, since it is smaller than the sum of its proper divisors (8244416).

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

5455600 is a wasteful number, since it uses less digits than its factorization.

5455600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 5455600 is about 2335.7225862675. The cubic root of 5455600 is about 176.0411405203.

The spelling of 5455600 in words is "five million, four hundred fifty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 593 920 1150 1186 1840 2300 2372 2965 4600 4744 5930 9200 9488 11860 13639 14825 23720 27278 29650 47440 54556 59300 68195 109112 118600 136390 218224 237200 272780 340975 545560 681950 1091120 1363900 2727800 5455600