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490211232 = 25371514831
BaseRepresentation
bin11101001110000…
…000011110100000
31021011102022101120
4131032000132200
52000443224412
6120350532240
715101504160
oct3516003640
91234368346
10490211232
11231790a55
12118207080
137a738724
14491685a0
152d082b8c
hex1d3807a0

490211232 has 96 divisors (see below), whose sum is σ = 1480679424. Its totient is φ = 139104000.

The previous prime is 490211221. The next prime is 490211297. The reversal of 490211232 is 232112094.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99057 + ... + 103887.

It is an arithmetic number, because the mean of its divisors is an integer number (15423744).

Almost surely, 2490211232 is an apocalyptic number.

490211232 is a gapful number since it is divisible by the number (42) 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 490211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740339712).

490211232 is an abundant number, since it is smaller than the sum of its proper divisors (990468192).

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

490211232 is a wasteful number, since it uses less digits than its factorization.

490211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5002 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 490211232 is about 22140.7143516193. The cubic root of 490211232 is about 788.4867855560.

The spelling of 490211232 in words is "four hundred ninety million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 151 168 224 302 336 453 604 672 906 1057 1208 1812 2114 2416 3171 3624 4228 4831 4832 6342 7248 8456 9662 12684 14493 14496 16912 19324 25368 28986 33817 33824 38648 50736 57972 67634 77296 101451 101472 115944 135268 154592 202902 231888 270536 405804 463776 541072 729481 811608 1082144 1458962 1623216 2188443 2917924 3246432 4376886 5106367 5835848 8753772 10212734 11671696 15319101 17507544 20425468 23343392 30638202 35015088 40850936 61276404 70030176 81701872 122552808 163403744 245105616 490211232