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428445792 = 253231371297
BaseRepresentation
bin11001100010011…
…001000001100000
31002212012022010200
4121202121001200
51334140231132
6110303025200
713421505045
oct3142310140
91085168120
10428445792
111aa934735
12bb59b200
136a9c1028
1440c8b1cc
1527931d7c
hex19899060

428445792 has 144 divisors (see below), whose sum is σ = 1292683392. Its totient is φ = 134369280.

The previous prime is 428445779. The next prime is 428445793. The reversal of 428445792 is 297544824.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428445793) 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, 329688 + ... + 330984.

It is an arithmetic number, because the mean of its divisors is an integer number (8976968).

Almost surely, 2428445792 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 428445792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646341696).

428445792 is an abundant number, since it is smaller than the sum of its proper divisors (864237600).

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

428445792 is a wasteful number, since it uses less digits than its factorization.

428445792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1370 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 428445792 is about 20698.9321463693. The cubic root of 428445792 is about 753.8737601954.

The spelling of 428445792 in words is "four hundred twenty-eight million, four hundred forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 37 48 62 72 74 93 96 111 124 144 148 186 222 248 279 288 296 333 372 444 496 558 592 666 744 888 992 1116 1147 1184 1297 1332 1488 1776 2232 2294 2594 2664 2976 3441 3552 3891 4464 4588 5188 5328 6882 7782 8928 9176 10323 10376 10656 11673 13764 15564 18352 20646 20752 23346 27528 31128 36704 40207 41292 41504 46692 47989 55056 62256 80414 82584 93384 95978 110112 120621 124512 143967 160828 165168 186768 191956 241242 287934 321656 330336 361863 373536 383912 431901 482484 575868 643312 723726 767824 863802 964968 1151736 1286624 1447452 1487659 1535648 1727604 1929936 2303472 2894904 2975318 3455208 3859872 4462977 4606944 5789808 5950636 6910416 8925954 11579616 11901272 13388931 13820832 17851908 23802544 26777862 35703816 47605088 53555724 71407632 107111448 142815264 214222896 428445792