Search a number
-
+
499943664 = 24341135069
BaseRepresentation
bin11101110011001…
…000100011110000
31021211201202210000
4131303020203300
52010441144124
6121335310000
715250310463
oct3563104360
91254652700
10499943664
11237229090
1211b51b300
137c76556c
144a57d2da
152dd566c9
hex1dcc88f0

499943664 has 100 divisors (see below), whose sum is σ = 1578570840. Its totient is φ = 151493760.

The previous prime is 499943659. The next prime is 499943669. The reversal of 499943664 is 466349994.

499943664 is a `hidden beast` number, since 499 + 94 + 3 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (499943659) and next prime (499943669).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 499943664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499943669) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3279 + ... + 31790.

Almost surely, 2499943664 is an apocalyptic number.

499943664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499943664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789285420).

499943664 is an abundant number, since it is smaller than the sum of its proper divisors (1078627176).

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

499943664 is a wasteful number, since it uses less digits than its factorization.

499943664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35100 (or 35085 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 499943664 is about 22359.4200282565. The cubic root of 499943664 is about 793.6707155893.

The spelling of 499943664 in words is "four hundred ninety-nine million, nine hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1584 1782 2376 3564 4752 7128 14256 35069 70138 105207 140276 210414 280552 315621 385759 420828 561104 631242 771518 841656 946863 1157277 1262484 1543036 1683312 1893726 2314554 2524968 2840589 3086072 3471831 3787452 4629108 5049936 5681178 6172144 6943662 7574904 9258216 10415493 11362356 13887324 15149808 18516432 20830986 22724712 27774648 31246479 41661972 45449424 55549296 62492958 83323944 124985916 166647888 249971832 499943664