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490155264 = 2832229929
BaseRepresentation
bin11101001101110…
…010110100000000
31021011022110121200
4131031302310000
52000434432024
6120345421200
715101152044
oct3515626400
91234273550
10490155264
112317529a5
1211819a800
137a719101
1449152024
152d0712c9
hex1d372d00

490155264 has 108 divisors (see below), whose sum is σ = 1420937700. Its totient is φ = 162496512.

The previous prime is 490155251. The next prime is 490155299. The reversal of 490155264 is 462551094.

490155264 is a `hidden beast` number, since 49 + 0 + 1 + 552 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 214329600 + 275825664 = 14640^2 + 16608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 527152 + ... + 528080.

Almost surely, 2490155264 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 490155264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710468850).

490155264 is an abundant number, since it is smaller than the sum of its proper divisors (930782436).

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

490155264 is a wasteful number, since it uses less digits than its factorization.

490155264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 490155264 is about 22139.4503996825. The cubic root of 490155264 is about 788.4567769222.

The spelling of 490155264 in words is "four hundred ninety million, one hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 229 256 288 384 458 576 687 768 916 929 1152 1374 1832 1858 2061 2304 2748 2787 3664 3716 4122 5496 5574 7328 7432 8244 8361 10992 11148 14656 14864 16488 16722 21984 22296 29312 29728 32976 33444 43968 44592 58624 59456 65952 66888 87936 89184 118912 131904 133776 175872 178368 212741 237824 263808 267552 356736 425482 527616 535104 638223 713472 850964 1070208 1276446 1701928 1914669 2140416 2552892 3403856 3829338 5105784 6807712 7658676 10211568 13615424 15317352 20423136 27230848 30634704 40846272 54461696 61269408 81692544 122538816 163385088 245077632 490155264