Search a number
-
+
45520216 = 237353313
BaseRepresentation
bin1010110110100…
…1010101011000
310011122122222221
42231221111120
543123121331
64303353424
71061626000
oct255512530
9104578887
1045520216
1123771015
12132b2874
13957a351
14608d000
153ee2711
hex2b69558

45520216 has 64 divisors (see below), whose sum is σ = 101736000. Its totient is φ = 19079424.

The previous prime is 45520201. The next prime is 45520231. The reversal of 45520216 is 61202554.

45520216 is digitally balanced in base 2, 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 (45520201) and next prime (45520231).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 145276 + ... + 145588.

It is an arithmetic number, because the mean of its divisors is an integer number (1589625).

Almost surely, 245520216 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 45520216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50868000).

45520216 is an abundant number, since it is smaller than the sum of its proper divisors (56215784).

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

45520216 is a wasteful number, since it uses less digits than its factorization.

45520216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 45520216 is about 6746.8671248217. The cubic root of 45520216 is about 357.0547141566.

The spelling of 45520216 in words is "forty-five million, five hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 53 56 98 106 196 212 313 343 371 392 424 626 686 742 1252 1372 1484 2191 2504 2597 2744 2968 4382 5194 8764 10388 15337 16589 17528 18179 20776 30674 33178 36358 61348 66356 72716 107359 116123 122696 132712 145432 214718 232246 429436 464492 812861 858872 928984 1625722 3251444 5690027 6502888 11380054 22760108 45520216