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490022272 = 276197647
BaseRepresentation
bin11101001101010…
…010010110000000
31021011001201012001
4131031102112000
52000421203042
6120342513344
715100056235
oct3515222600
91234051161
10490022272
11231671a93
12118135854
137a6a070c
144911978c
152d046bb7
hex1d352580

490022272 has 64 divisors (see below), whose sum is σ = 1003998240. Its totient is φ = 238141440.

The previous prime is 490022257. The next prime is 490022287. The reversal of 490022272 is 272220094.

It is an interprime number because it is at equal distance from previous prime (490022257) and next prime (490022287).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 490022272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757053 + ... + 757699.

Almost surely, 2490022272 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 490022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501999120).

490022272 is an abundant number, since it is smaller than the sum of its proper divisors (513975968).

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

490022272 is an equidigital number, since it uses as much as digits as its factorization.

490022272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 490022272 is about 22136.4466886626. The cubic root of 490022272 is about 788.3854607928.

It can be divided in two parts, 4900 and 22272, that added together give a palindrome (27172).

The spelling of 490022272 in words is "four hundred ninety million, twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 61 64 97 122 128 194 244 388 488 647 776 976 1294 1552 1952 2588 3104 3904 5176 5917 6208 7808 10352 11834 12416 20704 23668 39467 41408 47336 62759 78934 82816 94672 125518 157868 189344 251036 315736 378688 502072 631472 757376 1004144 1262944 2008288 2525888 3828299 4016576 5051776 7656598 8033152 15313196 30626392 61252784 122505568 245011136 490022272