Search a number
-
+
479964690 = 23452325763
BaseRepresentation
bin11100100110111…
…010111000010010
31020110010201210000
4130212322320102
51440332332230
6115343150430
714615426652
oct3446727022
91213121700
10479964690
11226a22637
121148a5416
137858b89a
1447a5c362
152c20bb60
hex1c9bae12

479964690 has 80 divisors (see below), whose sum is σ = 1346735808. Its totient is φ = 122421024.

The previous prime is 479964679. The next prime is 479964701. The reversal of 479964690 is 96469974.

It is an interprime number because it is at equal distance from previous prime (479964679) and next prime (479964701).

It is a super-2 number, since 2×4799646902 = 460732207293592200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5749 + ... + 31511.

Almost surely, 2479964690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479964690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673367904).

479964690 is an abundant number, since it is smaller than the sum of its proper divisors (866771118).

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

479964690 is a wasteful number, since it uses less digits than its factorization.

479964690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25805 (or 25796 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 479964690 is about 21908.0964485735. The cubic root of 479964690 is about 782.9543285996.

The spelling of 479964690 in words is "four hundred seventy-nine million, nine hundred sixty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 270 345 405 414 621 690 810 1035 1242 1863 2070 3105 3726 6210 9315 18630 25763 51526 77289 128815 154578 231867 257630 386445 463734 592549 695601 772890 1159335 1185098 1391202 1777647 2086803 2318670 2962745 3478005 3555294 4173606 5332941 5925490 6956010 8888235 10434015 10665882 15998823 17776470 20868030 26664705 31997646 47996469 53329410 79994115 95992938 159988230 239982345 479964690