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426933504 = 28356863
BaseRepresentation
bin11001011100100…
…111110100000000
31002202100110200000
4121130213310000
51333243333004
6110210400000
713402606044
oct3134476400
91082313600
10426933504
111a9aa1508
12bab90000
136a5b189a
14409b6024
1527733c39
hex19727d00

426933504 has 108 divisors (see below), whose sum is σ = 1276731456. Its totient is φ = 142290432.

The previous prime is 426933503. The next prime is 426933509. The reversal of 426933504 is 405339624.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426933503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58777 + ... + 65639.

Almost surely, 2426933504 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 426933504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638365728).

426933504 is an abundant number, since it is smaller than the sum of its proper divisors (849797952).

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

426933504 is an frugal number, since it uses more digits than its factorization.

426933504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 426933504 is about 20662.3692736337. The cubic root of 426933504 is about 752.9857301148.

It can be divided in two parts, 4269 and 33504, that added together give a palindrome (37773).

The spelling of 426933504 in words is "four hundred twenty-six million, nine hundred thirty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6863 6912 7776 10368 13726 15552 20589 20736 27452 31104 41178 54904 61767 62208 82356 109808 123534 164712 185301 219616 247068 329424 370602 439232 494136 555903 658848 741204 878464 988272 1111806 1317696 1482408 1667709 1756928 1976544 2223612 2635392 2964816 3335418 3953088 4447224 5270784 5929632 6670836 7906176 8894448 11859264 13341672 15812352 17788896 23718528 26683344 35577792 47437056 53366688 71155584 106733376 142311168 213466752 426933504