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421299424 = 25713231359
BaseRepresentation
bin11001000111001…
…000010011100000
31002100202020011101
4121013020103200
51330323040144
6105445524144
713303662130
oct3107102340
91070666141
10421299424
111a68a3547
12b9113654
136938b300
143dd4aac0
1526ebe6d4
hex191c84e0

421299424 has 144 divisors (see below), whose sum is σ = 1062512640. Its totient is φ = 160842240.

The previous prime is 421299419. The next prime is 421299449. The reversal of 421299424 is 424992124.

It is a super-3 number, since 3×4212994243 (a number of 27 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1173357 + ... + 1173715.

It is an arithmetic number, because the mean of its divisors is an integer number (7378560).

Almost surely, 2421299424 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 421299424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531256320).

421299424 is an abundant number, since it is smaller than the sum of its proper divisors (641213216).

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

421299424 is a wasteful number, since it uses less digits than its factorization.

421299424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 412 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 421299424 is about 20525.5797482069. The cubic root of 421299424 is about 749.6587626923.

The spelling of 421299424 in words is "four hundred twenty-one million, two hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 91 104 112 124 169 182 208 217 224 248 338 359 364 403 416 434 496 676 718 728 806 868 992 1183 1352 1436 1456 1612 1736 2366 2513 2704 2821 2872 2912 3224 3472 4667 4732 5026 5239 5408 5642 5744 6448 6944 9334 9464 10052 10478 11129 11284 11488 12896 18668 18928 20104 20956 22258 22568 32669 36673 37336 37856 40208 41912 44516 45136 60671 65338 73346 74672 77903 80416 83824 89032 90272 121342 130676 144677 146692 149344 155806 167648 178064 242684 261352 289354 293384 311612 356128 424697 485368 522704 578708 586768 623224 849394 970736 1012739 1045408 1157416 1173536 1246448 1698788 1880801 1941472 2025478 2314832 2492896 3397576 3761602 4050956 4629664 6795152 7523204 8101912 13165607 13590304 15046408 16203824 26331214 30092816 32407648 52662428 60185632 105324856 210649712 421299424