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426656448 = 26326112143
BaseRepresentation
bin11001011011100…
…100001011000000
31002201211101121200
4121123210023000
51333211001243
6110200421200
713400343231
oct3133441300
91081741550
10426656448
111a9922339
12baa77800
136a51574a
1440943088
15276cbad3
hex196e42c0

426656448 has 84 divisors (see below), whose sum is σ = 1243084128. Its totient is φ = 139875840.

The previous prime is 426656431. The next prime is 426656453. The reversal of 426656448 is 844656624.

426656448 is a `hidden beast` number, since 42 + 6 + 6 + 564 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29065 + ... + 41207.

Almost surely, 2426656448 is an apocalyptic number.

426656448 is a gapful number since it is divisible by the number (48) 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 426656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621542064).

426656448 is an abundant number, since it is smaller than the sum of its proper divisors (816427680).

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

426656448 is a wasteful number, since it uses less digits than its factorization.

426656448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12222 (or 12209 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 426656448 is about 20655.6638237555. The cubic root of 426656448 is about 752.8228129734.

The spelling of 426656448 in words is "four hundred twenty-six million, six hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 976 1098 1464 1952 2196 2928 3904 4392 5856 8784 11712 12143 17568 24286 35136 36429 48572 72858 97144 109287 145716 194288 218574 291432 388576 437148 582864 740723 777152 874296 1165728 1481446 1748592 2222169 2331456 2962892 3497184 4444338 5925784 6666507 6994368 8888676 11851568 13333014 17777352 23703136 26666028 35554704 47406272 53332056 71109408 106664112 142218816 213328224 426656448