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420247872 = 26331122109
BaseRepresentation
bin11001000011000…
…111100101000000
31002021202210201000
4121003013211000
51330040412442
6105411212000
713262022312
oct3103074500
91067683630
10420247872
111a62454a0
12b88a7000
13690b07a5
143db557b2
1526d62d4c
hex190c7940

420247872 has 112 divisors (see below), whose sum is σ = 1347825600. Its totient is φ = 127342080.

The previous prime is 420247853. The next prime is 420247879. The reversal of 420247872 is 278742024.

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 (420247879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7954 + ... + 30062.

Almost surely, 2420247872 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 420247872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673912800).

420247872 is an abundant number, since it is smaller than the sum of its proper divisors (927577728).

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

420247872 is a wasteful number, since it uses less digits than its factorization.

420247872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22141 (or 22125 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 420247872 is about 20499.9480974953. The cubic root of 420247872 is about 749.0345336997.

Adding to 420247872 its reverse (278742024), we get a palindrome (698989896).

The spelling of 420247872 in words is "four hundred twenty million, two hundred forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 22109 44218 66327 88436 132654 176872 198981 243199 265308 353744 397962 486398 530616 596943 707488 729597 795924 972796 1061232 1193886 1414976 1459194 1591848 1945592 2122464 2188791 2387772 2918388 3183696 3891184 4244928 4377582 4775544 5836776 6367392 6566373 7782368 8755164 9551088 11673552 12734784 13132746 15564736 17510328 19102176 23347104 26265492 35020656 38204352 46694208 52530984 70041312 105061968 140082624 210123936 420247872