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421975296 = 2832237963
BaseRepresentation
bin11001001001101…
…101010100000000
31002102000120021200
4121021231110000
51331011202141
6105512221200
713312505451
oct3111552400
91072016250
10421975296
111a7215316
12b939a800
1369566b32
1440085128
15270a4ab6
hex1926d500

421975296 has 108 divisors (see below), whose sum is σ = 1269716448. Its totient is φ = 134525952.

The previous prime is 421975277. The next prime is 421975303. The reversal of 421975296 is 692579124.

421975296 is a `hidden beast` number, since 421 + 97 + 52 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 49011 + ... + 56973.

Almost surely, 2421975296 is an apocalyptic number.

421975296 is a gapful number since it is divisible by the number (46) 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 421975296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634858224).

421975296 is an abundant number, since it is smaller than the sum of its proper divisors (847741152).

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

421975296 is a wasteful number, since it uses less digits than its factorization.

421975296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008 (or 7991 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 421975296 is about 20542.0372894219. The cubic root of 421975296 is about 750.0594299573.

The spelling of 421975296 in words is "four hundred twenty-one million, nine hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 552 576 736 768 828 1104 1152 1472 1656 2208 2304 2944 3312 4416 5888 6624 7963 8832 13248 15926 17664 23889 26496 31852 47778 52992 63704 71667 95556 127408 143334 183149 191112 254816 286668 366298 382224 509632 549447 573336 732596 764448 1019264 1098894 1146672 1465192 1528896 1648341 2038528 2197788 2293344 2930384 3057792 3296682 4395576 4586688 5860768 6115584 6593364 8791152 9173376 11721536 13186728 17582304 18346752 23443072 26373456 35164608 46886144 52746912 70329216 105493824 140658432 210987648 421975296