Search a number
-
+
45478620 = 2232511103223
BaseRepresentation
bin1010110101111…
…1001011011100
310011120112221100
42231133023130
543120303440
64302433100
71061363505
oct255371334
9104515840
1045478620
1123742840
1213292790
139564435
14607bbac
153ed5230
hex2b5f2dc

45478620 has 144 divisors (see below), whose sum is σ = 152635392. Its totient is φ = 10869120.

The previous prime is 45478619. The next prime is 45478639. The reversal of 45478620 is 2687454.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203829 + ... + 204051.

It is an arithmetic number, because the mean of its divisors is an integer number (1059968).

Almost surely, 245478620 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 45478620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76317696).

45478620 is an abundant number, since it is smaller than the sum of its proper divisors (107156772).

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

45478620 is a wasteful number, since it uses less digits than its factorization.

45478620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 347 counting only the distinct ones).

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

The square root of 45478620 is about 6743.7838043638. The cubic root of 45478620 is about 356.9459231228.

The spelling of 45478620 in words is "forty-five million, four hundred seventy-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 103 110 132 165 180 198 206 220 223 309 330 396 412 446 495 515 618 660 669 892 927 990 1030 1115 1133 1236 1338 1545 1854 1980 2007 2060 2230 2266 2453 2676 3090 3345 3399 3708 4014 4460 4532 4635 4906 5665 6180 6690 6798 7359 8028 9270 9812 10035 10197 11330 12265 13380 13596 14718 16995 18540 20070 20394 22077 22660 22969 24530 29436 33990 36795 40140 40788 44154 45938 49060 50985 67980 68907 73590 88308 91876 101970 110385 114845 137814 147180 203940 206721 220770 229690 252659 275628 344535 413442 441540 459380 505318 689070 757977 826884 1010636 1033605 1263295 1378140 1515954 2067210 2273931 2526590 3031908 3789885 4134420 4547862 5053180 7579770 9095724 11369655 15159540 22739310 45478620