Search a number
-
+
45213462 = 23272811277
BaseRepresentation
bin1010110001111…
…0011100010110
310011002002012200
42230132130112
543033312322
64253025330
71056210450
oct254363426
9104062180
1045213462
11235815a8
1213185246
1394a0838
14600d2d0
153e818ac
hex2b1e716

45213462 has 48 divisors (see below), whose sum is σ = 112443552. Its totient is φ = 12862080.

The previous prime is 45213461. The next prime is 45213463. The reversal of 45213462 is 26431254.

It is an interprime number because it is at equal distance from previous prime (45213461) and next prime (45213463).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45213461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34768 + ... + 36044.

It is an arithmetic number, because the mean of its divisors is an integer number (2342574).

Almost surely, 245213462 is an apocalyptic number.

45213462 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45213462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56221776).

45213462 is an abundant number, since it is smaller than the sum of its proper divisors (67230090).

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

45213462 is a wasteful number, since it uses less digits than its factorization.

45213462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1570 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 45213462 is about 6724.0956269226. The cubic root of 45213462 is about 356.2508594624.

The spelling of 45213462 in words is "forty-five million, two hundred thirteen thousand, four hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 281 562 843 1277 1686 1967 2529 2554 3831 3934 5058 5901 7662 8939 11493 11802 17703 17878 22986 26817 35406 53634 80451 160902 358837 717674 1076511 2153022 2511859 3229533 5023718 6459066 7535577 15071154 22606731 45213462