Search a number
-
+
41369600 = 21452101
BaseRepresentation
bin1001110111010…
…0000000000000
32212211210102102
42131310000000
541042311400
64034405532
71011431036
oct235640000
985753372
1041369600
1121396658
1211a308a8
13875606c
1456cc556
1539729d5
hex2774000

41369600 has 90 divisors (see below), whose sum is σ = 103609254. Its totient is φ = 16384000.

The previous prime is 41369599. The next prime is 41369609. The reversal of 41369600 is 696314.

It can be written as a sum of positive squares in 3 ways, for example, as 11075584 + 30294016 = 3328^2 + 5504^2 .

It is a super-2 number, since 2×413696002 = 3422887608320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41369609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 409550 + ... + 409650.

Almost surely, 241369600 is an apocalyptic number.

41369600 is a gapful number since it is divisible by the number (40) 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 41369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51804627).

41369600 is an abundant number, since it is smaller than the sum of its proper divisors (62239654).

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

41369600 is an equidigital number, since it uses as much as digits as its factorization.

41369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 41369600 is about 6431.9203975174. The cubic root of 41369600 is about 345.8547732712.

The spelling of 41369600 in words is "forty-one million, three hundred sixty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 128 160 200 202 256 320 400 404 505 512 640 800 808 1010 1024 1280 1600 1616 2020 2048 2525 2560 3200 3232 4040 4096 5050 5120 6400 6464 8080 8192 10100 10240 12800 12928 16160 16384 20200 20480 25600 25856 32320 40400 40960 51200 51712 64640 80800 81920 102400 103424 129280 161600 204800 206848 258560 323200 409600 413696 517120 646400 827392 1034240 1292800 1654784 2068480 2585600 4136960 5171200 8273920 10342400 20684800 41369600