Search a number
-
+
421810944 = 28319137211
BaseRepresentation
bin11001001001000…
…101001100000000
31002101201012211120
4121021011030000
51330440422234
6105504512240
713311222342
oct3111051400
91071635746
10421810944
111a7112895
12b931b680
136950a099
1440041292
1527071049
hex19245300

421810944 has 144 divisors (see below), whose sum is σ = 1195985280. Its totient is φ = 131604480.

The previous prime is 421810937. The next prime is 421810979. The reversal of 421810944 is 449018124.

It is a super-2 number, since 2×4218109442 = 355848944956342272, which contains 22 as substring.

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, 1998999 + ... + 1999209.

Almost surely, 2421810944 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 421810944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597992640).

421810944 is an abundant number, since it is smaller than the sum of its proper divisors (774174336).

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

421810944 is a wasteful number, since it uses less digits than its factorization.

421810944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 421810944 is about 20538.0365176421. The cubic root of 421810944 is about 749.9620389675.

The spelling of 421810944 in words is "four hundred twenty-one million, eight hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 137 152 192 211 228 256 274 304 384 411 422 456 548 608 633 768 822 844 912 1096 1216 1266 1644 1688 1824 2192 2432 2532 2603 3288 3376 3648 4009 4384 4864 5064 5206 6576 6752 7296 7809 8018 8768 10128 10412 12027 13152 13504 14592 15618 16036 17536 20256 20824 24054 26304 27008 28907 31236 32072 35072 40512 41648 48108 52608 54016 57814 62472 64144 81024 83296 86721 96216 105216 115628 124944 128288 162048 166592 173442 192432 231256 249888 256576 333184 346884 384864 462512 499776 513152 549233 666368 693768 769728 925024 999552 1026304 1098466 1387536 1539456 1647699 1850048 1999104 2196932 2775072 3078912 3295398 3700096 4393864 5550144 6590796 7400192 8787728 11100288 13181592 17575456 22200576 26363184 35150912 52726368 70301824 105452736 140603648 210905472 421810944