Search a number
-
+
2045472 = 2531113149
BaseRepresentation
bin111110011011000100000
310211220212020
413303120200
51010423342
6111501440
723246322
oct7633040
93756766
102045472
111177880
12827880
13568050
143b3612
152a60ec
hex1f3620

2045472 has 96 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 568320.

The previous prime is 2045441. The next prime is 2045503. The reversal of 2045472 is 2745402.

2045472 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2045441) and next prime (2045503).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13654 + ... + 13802.

It is an arithmetic number, because the mean of its divisors is an integer number (66150).

22045472 is an apocalyptic number.

2045472 is a gapful number since it is divisible by the number (22) 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 2045472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2045472 is an abundant number, since it is smaller than the sum of its proper divisors (4304928).

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

2045472 is a wasteful number, since it uses less digits than its factorization.

2045472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 2045472 is about 1430.1999860159. The cubic root of 2045472 is about 126.9398106919.

The spelling of 2045472 in words is "two million, forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 149 156 176 208 264 286 298 312 352 416 429 447 528 572 596 624 858 894 1056 1144 1192 1248 1639 1716 1788 1937 2288 2384 3278 3432 3576 3874 4576 4768 4917 5811 6556 6864 7152 7748 9834 11622 13112 13728 14304 15496 19668 21307 23244 26224 30992 39336 42614 46488 52448 61984 63921 78672 85228 92976 127842 157344 170456 185952 255684 340912 511368 681824 1022736 2045472