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426272416 = 25174318223
BaseRepresentation
bin11001011010000…
…110011010100000
31002201002212211021
4121122012122200
51333111204131
6110144255224
713364153503
oct3132063240
91081085737
10426272416
111a968a859
12ba911514
136a40c9cb
144088313a
1527652e11
hex196866a0

426272416 has 48 divisors (see below), whose sum is σ = 909304704. Its totient is φ = 195922944.

The previous prime is 426272411. The next prime is 426272447. The reversal of 426272416 is 614272624.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (426272411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14281 + ... + 32503.

It is an arithmetic number, because the mean of its divisors is an integer number (18943848).

Almost surely, 2426272416 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 426272416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454652352).

426272416 is an abundant number, since it is smaller than the sum of its proper divisors (483032288).

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

426272416 is a wasteful number, since it uses less digits than its factorization.

426272416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18293 (or 18285 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 426272416 is about 20646.3656850304. The cubic root of 426272416 is about 752.5968740968.

The spelling of 426272416 in words is "four hundred twenty-six million, two hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 43 68 86 136 172 272 344 544 688 731 1376 1462 2924 5848 11696 18223 23392 36446 72892 145784 291568 309791 583136 619582 783589 1239164 1567178 2478328 3134356 4956656 6268712 9913312 12537424 13321013 25074848 26642026 53284052 106568104 213136208 426272416