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499961040 = 24354794349
BaseRepresentation
bin11101110011001…
…100110011010000
31021211202122121120
4131303030303100
52010442223130
6121335522240
715250412235
oct3563146320
91254678546
10499961040
11237240147
1211b529380
137c770447
144a58578c
152dd5b910
hex1dccccd0

499961040 has 80 divisors (see below), whose sum is σ = 1553472000. Its totient is φ = 133014016.

The previous prime is 499961039. The next prime is 499961047. The reversal of 499961040 is 40169994.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4999610402 = 499922083035763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 499960983 and 499961001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499961047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112786 + ... + 117134.

It is an arithmetic number, because the mean of its divisors is an integer number (19418400).

Almost surely, 2499961040 is an apocalyptic number.

499961040 is a gapful number since it is divisible by the number (40) 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 499961040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776736000).

499961040 is an abundant number, since it is smaller than the sum of its proper divisors (1053510960).

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

499961040 is a wasteful number, since it uses less digits than its factorization.

499961040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 499961040 is about 22359.8085859428. The cubic root of 499961040 is about 793.6799104003.

The spelling of 499961040 in words is "four hundred ninety-nine million, nine hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 479 958 1437 1916 2395 2874 3832 4349 4790 5748 7185 7664 8698 9580 11496 13047 14370 17396 19160 21745 22992 26094 28740 34792 38320 43490 52188 57480 65235 69584 86980 104376 114960 130470 173960 208752 260940 347920 521880 1043760 2083171 4166342 6249513 8332684 10415855 12499026 16665368 20831710 24998052 31247565 33330736 41663420 49996104 62495130 83326840 99992208 124990260 166653680 249980520 499961040