Search a number
-
+
45302048 = 2511414373
BaseRepresentation
bin1010110011010…
…0000100100000
310011020120201122
42230310010200
543044131143
64254551412
71060026641
oct254640440
9104216648
1045302048
1123632110
1213208568
139501c5c
1460336c8
153e9cc68
hex2b34120

45302048 has 96 divisors (see below), whose sum is σ = 103384512. Its totient is φ = 19353600.

The previous prime is 45302041. The next prime is 45302051. The reversal of 45302048 is 84020354.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45302041) 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, 620540 + ... + 620612.

It is an arithmetic number, because the mean of its divisors is an integer number (1076922).

Almost surely, 245302048 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 45302048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51692256).

45302048 is an abundant number, since it is smaller than the sum of its proper divisors (58082464).

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

45302048 is a wasteful number, since it uses less digits than its factorization.

45302048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 45302048 is about 6730.6796090737. The cubic root of 45302048 is about 356.4833731780.

The spelling of 45302048 in words is "forty-five million, three hundred two thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 41 43 44 73 82 86 88 146 164 172 176 292 328 344 352 451 473 584 656 688 803 902 946 1168 1312 1376 1606 1763 1804 1892 2336 2993 3139 3212 3526 3608 3784 5986 6278 6424 7052 7216 7568 11972 12556 12848 14104 14432 15136 19393 23944 25112 25696 28208 32923 34529 38786 47888 50224 56416 65846 69058 77572 95776 100448 128699 131692 138116 155144 257398 263384 276232 310288 514796 526768 552464 620576 1029592 1053536 1104928 1415689 2059184 2831378 4118368 5662756 11325512 22651024 45302048