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1004736385 = 510110918253
BaseRepresentation
bin111011111000110…
…000111110000001
32121000120220012201
4323320300332001
54024203031020
6243410553201
733620055412
oct7370607601
92530526181
101004736385
11476169354
12240598801
13130207c93
1497621809
155d319a0a
hex3be30f81

1004736385 has 16 divisors (see below), whose sum is σ = 1228859280. Its totient is φ = 788486400.

The previous prime is 1004736371. The next prime is 1004736389. The reversal of 1004736385 is 5836374001.

1004736385 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1874161 + 1002862224 = 1369^2 + 31668^2 .

It is not a de Polignac number, because 1004736385 - 211 = 1004734337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004736389) 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, 45919 + ... + 64171.

It is an arithmetic number, because the mean of its divisors is an integer number (76803705).

Almost surely, 21004736385 is an apocalyptic number.

It is an amenable number.

1004736385 is a deficient number, since it is larger than the sum of its proper divisors (224122895).

1004736385 is a wasteful number, since it uses less digits than its factorization.

1004736385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18468.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 1004736385 is about 31697.5769578686. The cubic root of 1004736385 is about 1001.5763089445.

The spelling of 1004736385 in words is "one billion, four million, seven hundred thirty-six thousand, three hundred eighty-five".

Divisors: 1 5 101 109 505 545 11009 18253 55045 91265 1843553 1989577 9217765 9947885 200947277 1004736385