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1028609764 = 2272131921247
BaseRepresentation
bin111101010011110…
…101011011100100
32122200111210022221
4331103311123210
54101311003024
6250022402124
734330016200
oct7523653344
92580453287
101028609764
11488694816
12248590344
13135146440
149a877b00
15604833e4
hex3d4f56e4

1028609764 has 72 divisors (see below), whose sum is σ = 2373826560. Its totient is φ = 385487424.

The previous prime is 1028609761. The next prime is 1028609801. The reversal of 1028609764 is 4679068201.

It is a super-2 number, since 2×10286097642 = 2116076093192271392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1028609764.

It is not an unprimeable number, because it can be changed into a prime (1028609761) 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, 37789 + ... + 59035.

Almost surely, 21028609764 is an apocalyptic number.

1028609764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028609764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186913280).

1028609764 is an abundant number, since it is smaller than the sum of its proper divisors (1345216796).

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

1028609764 is a wasteful number, since it uses less digits than its factorization.

1028609764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21297 (or 21288 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 1028609764 is about 32071.9466824201. The cubic root of 1028609764 is about 1009.4470600166.

The spelling of 1028609764 in words is "one billion, twenty-eight million, six hundred nine thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 182 196 247 266 364 494 532 637 931 988 1274 1729 1862 2548 3458 3724 6916 12103 21247 24206 42494 48412 84988 148729 276211 297458 403693 552422 594916 807386 1041103 1104844 1614772 1933477 2082206 2825851 3866954 4164412 5248009 5651702 7733908 10496018 11303404 13534339 19780957 20992036 27068678 36736063 39561914 54137356 73472126 79123828 146944252 257152441 514304882 1028609764