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421991964 = 223331241523
BaseRepresentation
bin11001001001110…
…001011000011100
31002102001102011000
4121021301120130
51331012220324
6105512430300
713312605162
oct3111613034
91072042130
10421991964
111a7226899
12b93a8390
13695715b4
144008b232
15270a99c9
hex1927161c

421991964 has 96 divisors (see below), whose sum is σ = 1136199680. Its totient is φ = 135302400.

The previous prime is 421991953. The next prime is 421992007. The reversal of 421991964 is 469199124.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806607 + ... + 807129.

Almost surely, 2421991964 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 421991964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568099840).

421991964 is an abundant number, since it is smaller than the sum of its proper divisors (714207716).

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

421991964 is a wasteful number, since it uses less digits than its factorization.

421991964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 800 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 421991964 is about 20542.4429900633. The cubic root of 421991964 is about 750.0693055954.

The spelling of 421991964 in words is "four hundred twenty-one million, nine hundred ninety-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 241 279 372 482 523 558 723 837 964 1046 1116 1446 1569 1674 2092 2169 2892 3138 3348 4338 4707 6276 6507 7471 8676 9414 13014 14121 14942 16213 18828 22413 26028 28242 29884 32426 44826 48639 56484 64852 67239 89652 97278 126043 134478 145917 194556 201717 252086 268956 291834 378129 403434 437751 504172 583668 756258 806868 875502 1134387 1512516 1751004 2268774 3403161 3907333 4537548 6806322 7814666 11721999 13612644 15629332 23443998 35165997 46887996 70331994 105497991 140663988 210995982 421991964