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1050252928 = 2717491983
BaseRepresentation
bin111110100110011…
…001011010000000
32201012020101011121
4332212121122000
54122331043203
6252114322024
735012000614
oct7646313200
92635211147
101050252928
1149992762a
12253889314
1313978374a
149d6ad344
156230b0bd
hex3e999680

1050252928 has 64 divisors (see below), whose sum is σ = 2222147520. Its totient is φ = 492728320.

The previous prime is 1050252899. The next prime is 1050252953. The reversal of 1050252928 is 8292520501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10502529282 = 2206062425545146368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1050252893 and 1050252902.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1067925 + ... + 1068907.

It is an arithmetic number, because the mean of its divisors is an integer number (34721055).

Almost surely, 21050252928 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 1050252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111073760).

1050252928 is an abundant number, since it is smaller than the sum of its proper divisors (1171894592).

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

1050252928 is an equidigital number, since it uses as much as digits as its factorization.

1050252928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 1050252928 is about 32407.6060208094. The cubic root of 1050252928 is about 1016.4779614049.

The spelling of 1050252928 in words is "one billion, fifty million, two hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 491 544 982 983 1088 1964 1966 2176 3928 3932 7856 7864 8347 15712 15728 16694 16711 31424 31456 33388 33422 62848 62912 66776 66844 125824 133552 133688 267104 267376 482653 534208 534752 965306 1068416 1069504 1930612 2139008 3861224 7722448 8205101 15444896 16410202 30889792 32820404 61779584 65640808 131281616 262563232 525126464 1050252928