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1028306405 = 57237113437
BaseRepresentation
bin111101010010101…
…011010111100101
32122122221101012102
4331102223113211
54101221301110
6250012101445
734324313600
oct7522532745
92578841172
101028306405
114884a7905
12248464885
1313506b339
149a7d9337
15604235a5
hex3d4ab5e5

1028306405 has 24 divisors (see below), whose sum is σ = 1474240248. Its totient is φ = 686060928.

The previous prime is 1028306401. The next prime is 1028306407. The reversal of 1028306405 is 5046038201.

It can be written as a sum of positive squares in 4 ways, for example, as 265331521 + 762974884 = 16289^2 + 27622^2 .

It is not a de Polignac number, because 1028306405 - 22 = 1028306401 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028306401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47654 + ... + 65783.

It is an arithmetic number, because the mean of its divisors is an integer number (61426677).

Almost surely, 21028306405 is an apocalyptic number.

It is an amenable number.

1028306405 is a deficient number, since it is larger than the sum of its proper divisors (445933843).

1028306405 is a wasteful number, since it uses less digits than its factorization.

1028306405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113493 (or 113486 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 1028306405 is about 32067.2169824573. The cubic root of 1028306405 is about 1009.3478144231.

The spelling of 1028306405 in words is "one billion, twenty-eight million, three hundred six thousand, four hundred five".

Divisors: 1 5 7 35 37 49 185 245 259 1295 1813 9065 113437 567185 794059 3970295 4197169 5558413 20985845 27792065 29380183 146900915 205661281 1028306405