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422757040 = 24597157347
BaseRepresentation
bin11001001100101…
…100001010110000
31002110111021122011
4121030230022300
51331211211130
6105541052304
713322242546
oct3114541260
91073437564
10422757040
111a76a9692
12b96b7094
136977b8c4
1440209d96
15271ab52a
hex1932c2b0

422757040 has 80 divisors (see below), whose sum is σ = 1002248352. Its totient is φ = 165814272.

The previous prime is 422757029. The next prime is 422757059. The reversal of 422757040 is 40757224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 422756993 and 422757011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1218147 + ... + 1218493.

Almost surely, 2422757040 is an apocalyptic number.

422757040 is a gapful number since it is divisible by the number (40) 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 422757040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501124176).

422757040 is an abundant number, since it is smaller than the sum of its proper divisors (579491312).

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

422757040 is a wasteful number, since it uses less digits than its factorization.

422757040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 31.

The square root of 422757040 is about 20561.0563930942. The cubic root of 422757040 is about 750.5223265193.

The spelling of 422757040 in words is "four hundred twenty-two million, seven hundred fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 157 194 314 347 388 485 628 694 776 785 970 1256 1388 1552 1570 1735 1940 2512 2776 3140 3470 3880 5552 6280 6940 7760 12560 13880 15229 27760 30458 33659 54479 60916 67318 76145 108958 121832 134636 152290 168295 217916 243664 269272 272395 304580 336590 435832 538544 544790 609160 673180 871664 1089580 1218320 1346360 2179160 2692720 4358320 5284463 10568926 21137852 26422315 42275704 52844630 84551408 105689260 211378520 422757040