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421292016 = 2436191901
BaseRepresentation
bin11001000111000…
…110011111110000
31002100201212000000
4121013012133300
51330322321031
6105445430000
713303631415
oct3107063760
91070655000
10421292016
111a6898a22
12b910b300
1369387b22
143dd4810c
1526ebc3e6
hex191c67f0

421292016 has 140 divisors (see below), whose sum is σ = 1288909320. Its totient is φ = 132969600.

The previous prime is 421292009. The next prime is 421292021. The reversal of 421292016 is 610292124.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 220666 + ... + 222566.

Almost surely, 2421292016 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 421292016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644454660).

421292016 is an abundant number, since it is smaller than the sum of its proper divisors (867617304).

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

421292016 is a wasteful number, since it uses less digits than its factorization.

421292016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 421292016 is about 20525.3992896606. The cubic root of 421292016 is about 749.6543687432.

The spelling of 421292016 in words is "four hundred twenty-one million, two hundred ninety-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 729 912 972 1026 1296 1368 1458 1539 1901 1944 2052 2736 2916 3078 3802 3888 4104 4617 5703 5832 6156 7604 8208 9234 11406 11664 12312 13851 15208 17109 18468 22812 24624 27702 30416 34218 36119 36936 45624 51327 55404 68436 72238 73872 91248 102654 108357 110808 136872 144476 153981 205308 216714 221616 273744 288952 307962 325071 410616 433428 461943 577904 615924 650142 821232 866856 923886 975213 1231848 1300284 1385829 1733712 1847772 1950426 2463696 2600568 2771658 2925639 3695544 3900852 5201136 5543316 5851278 7391088 7801704 8776917 11086632 11702556 15603408 17553834 22173264 23405112 26330751 35107668 46810224 52661502 70215336 105323004 140430672 210646008 421292016