Search a number
-
+
40516616 = 2372383379
BaseRepresentation
bin1001101010001…
…1110000001000
32211020110100102
42122203300020
540333012431
64004224532
71001246150
oct232436010
984213312
1040516616
1120963808
121169b148
138517a3a
145549760
153854dcb
hex26a3c08

40516616 has 64 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 16365888.

The previous prime is 40516613. The next prime is 40516631. The reversal of 40516616 is 61661504.

It is not an unprimeable number, because it can be changed into a prime (40516613) 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, 106715 + ... + 107093.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 240516616 is an apocalyptic number.

40516616 is a gapful number since it is divisible by the number (46) 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 40516616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964800).

40516616 is an abundant number, since it is smaller than the sum of its proper divisors (51412984).

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

40516616 is a wasteful number, since it uses less digits than its factorization.

40516616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 40516616 is about 6365.2663730593. The cubic root of 40516616 is about 343.4612307197.

The spelling of 40516616 in words is "forty million, five hundred sixteen thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 23 28 46 56 83 92 161 166 184 322 332 379 581 644 664 758 1162 1288 1516 1909 2324 2653 3032 3818 4648 5306 7636 8717 10612 13363 15272 17434 21224 26726 31457 34868 53452 61019 62914 69736 106904 122038 125828 220199 244076 251656 440398 488152 723511 880796 1447022 1761592 2894044 5064577 5788088 10129154 20258308 40516616