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465672704 = 297177643
BaseRepresentation
bin11011110000011…
…001101000000000
31012110020121212012
4123300121220000
51423203011304
6114112552052
714353103240
oct3360315000
91173217765
10465672704
11219950882
1210bb52628
13756265a3
1445bbbb20
152ad3716e
hex1bc19a00

465672704 has 80 divisors (see below), whose sum is σ = 1126052928. Its totient is φ = 187809792.

The previous prime is 465672679. The next prime is 465672709. The reversal of 465672704 is 407276564.

It is not an unprimeable number, because it can be changed into a prime (465672709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57107 + ... + 64749.

Almost surely, 2465672704 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 465672704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563026464).

465672704 is an abundant number, since it is smaller than the sum of its proper divisors (660380224).

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

465672704 is an equidigital number, since it uses as much as digits as its factorization.

465672704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7685 (or 7669 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The square root of 465672704 is about 21579.4509661391. The cubic root of 465672704 is about 775.1045042565.

The spelling of 465672704 in words is "four hundred sixty-five million, six hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 512 544 896 952 1088 1792 1904 2176 3584 3808 4352 7616 7643 8704 15232 15286 30464 30572 53501 60928 61144 107002 122288 129931 214004 244576 259862 428008 489152 519724 856016 909517 978304 1039448 1712032 1819034 1956608 2078896 3424064 3638068 3913216 4157792 6848128 7276136 8315584 13696256 14552272 16631168 27392512 29104544 33262336 58209088 66524672 116418176 232836352 465672704