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424522440 = 233259712157
BaseRepresentation
bin11001010011011…
…011001011001000
31002120210222022100
4121103123023020
51332134204230
6110042553400
713343244516
oct3123331310
91076728270
10424522440
111a86a4aa1
12ba208860
1369c49314
14405494b6
1527409660
hex194db2c8

424522440 has 96 divisors (see below), whose sum is σ = 1394036280. Its totient is φ = 112029696.

The previous prime is 424522429. The next prime is 424522447. The reversal of 424522440 is 44225424.

It can be written as a sum of positive squares in 4 ways, for example, as 217680516 + 206841924 = 14754^2 + 14382^2 .

It is not an unprimeable number, because it can be changed into a prime (424522447) 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, 28842 + ... + 40998.

Almost surely, 2424522440 is an apocalyptic number.

424522440 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 424522440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697018140).

424522440 is an abundant number, since it is smaller than the sum of its proper divisors (969513840).

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

424522440 is a wasteful number, since it uses less digits than its factorization.

424522440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12271 (or 12264 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 424522440 is about 20603.9423412123. The cubic root of 424522440 is about 751.5655829926.

Adding to 424522440 its reverse (44225424), we get a palindrome (468747864).

The spelling of 424522440 in words is "four hundred twenty-four million, five hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 360 388 485 582 776 873 970 1164 1455 1746 1940 2328 2910 3492 3880 4365 5820 6984 8730 11640 12157 17460 24314 34920 36471 48628 60785 72942 97256 109413 121570 145884 182355 218826 243140 291768 364710 437652 486280 547065 729420 875304 1094130 1179229 1458840 2188260 2358458 3537687 4376520 4716916 5896145 7075374 9433832 10613061 11792290 14150748 17688435 21226122 23584580 28301496 35376870 42452244 47169160 53065305 70753740 84904488 106130610 141507480 212261220 424522440