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426334752 = 2535109503
BaseRepresentation
bin11001011010010…
…101101000100000
31002201020001100000
4121122111220200
51333120203002
6110145500000
713364533314
oct3132255040
91081201300
10426334752
111a9722678
12ba941600
136a4321ac
144089bb44
152766661c
hex19695a20

426334752 has 144 divisors (see below), whose sum is σ = 1271350080. Its totient is φ = 140527872.

The previous prime is 426334751. The next prime is 426334763. The reversal of 426334752 is 257433624.

426334752 is a `hidden beast` number, since 4 + 263 + 347 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4263347522 = 363522641525803008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (426334751) 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, 847333 + ... + 847835.

It is an arithmetic number, because the mean of its divisors is an integer number (8828820).

Almost surely, 2426334752 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 426334752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635675040).

426334752 is an abundant number, since it is smaller than the sum of its proper divisors (845015328).

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

426334752 is a wasteful number, since it uses less digits than its factorization.

426334752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 617 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 426334752 is about 20647.8752417773. The cubic root of 426334752 is about 752.6335576747.

The spelling of 426334752 in words is "four hundred twenty-six million, three hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 109 144 162 216 218 243 288 324 327 432 436 486 503 648 654 864 872 972 981 1006 1296 1308 1509 1744 1944 1962 2012 2592 2616 2943 3018 3488 3888 3924 4024 4527 5232 5886 6036 7776 7848 8048 8829 9054 10464 11772 12072 13581 15696 16096 17658 18108 23544 24144 26487 27162 31392 35316 36216 40743 47088 48288 52974 54324 54827 70632 72432 81486 94176 105948 108648 109654 122229 141264 144864 162972 164481 211896 217296 219308 244458 282528 325944 328962 423792 434592 438616 488916 493443 651888 657924 847584 877232 977832 986886 1303776 1315848 1480329 1754464 1955664 1973772 2631696 2960658 3911328 3947544 4440987 5263392 5921316 7895088 8881974 11842632 13322961 15790176 17763948 23685264 26645922 35527896 47370528 53291844 71055792 106583688 142111584 213167376 426334752