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421062144 = 293467587
BaseRepresentation
bin11001000110001…
…110011000000000
31002100022011200020
4121012032120000
51330242442034
6105440453440
713301653266
oct3106163000
91070264606
10421062144
111a6751248
12b901a280
13693072c9
143dcc8436
1526e74249
hex1918e600

421062144 has 80 divisors (see below), whose sum is σ = 1126052928. Its totient is φ = 139814912.

The previous prime is 421062139. The next prime is 421062209. The reversal of 421062144 is 441260124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 717019 + ... + 717605.

Almost surely, 2421062144 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 421062144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563026464).

421062144 is an abundant number, since it is smaller than the sum of its proper divisors (704990784).

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

421062144 is an equidigital number, since it uses as much as digits as its factorization.

421062144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 421062144 is about 20519.7988294233. The cubic root of 421062144 is about 749.5179978538.

The spelling of 421062144 in words is "four hundred twenty-one million, sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 467 512 587 768 934 1174 1401 1536 1761 1868 2348 2802 3522 3736 4696 5604 7044 7472 9392 11208 14088 14944 18784 22416 28176 29888 37568 44832 56352 59776 75136 89664 112704 119552 150272 179328 225408 239104 274129 300544 358656 450816 548258 717312 822387 901632 1096516 1644774 2193032 3289548 4386064 6579096 8772128 13158192 17544256 26316384 35088512 52632768 70177024 105265536 140354048 210531072 421062144