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1038513896 = 23729222051
BaseRepresentation
bin111101111001100…
…111011011101000
32200101010222020122
4331321213123220
54111324421041
6251014542412
734510136210
oct7571473350
92611128218
101038513896
11493239952
1224b967a08
13137203484
149bcd5240
156128cc4b
hex3de676e8

1038513896 has 48 divisors (see below), whose sum is σ = 2304875040. Its totient is φ = 429710400.

The previous prime is 1038513881. The next prime is 1038513967. The reversal of 1038513896 is 6983158301.

It is a super-2 number, since 2×10385138962 = 2157022224370197632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36071 + ... + 58121.

It is an arithmetic number, because the mean of its divisors is an integer number (48018230).

Almost surely, 21038513896 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 1038513896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152437520).

1038513896 is an abundant number, since it is smaller than the sum of its proper divisors (1266361144).

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

1038513896 is a wasteful number, since it uses less digits than its factorization.

1038513896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22122 (or 22089 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 1038513896 is about 32225.9816917965. The cubic root of 1038513896 is about 1012.6765903645.

The spelling of 1038513896 in words is "one billion, thirty-eight million, five hundred thirteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 841 1624 1682 3364 5887 6728 11774 22051 23548 44102 47096 88204 154357 176408 308714 617428 639479 1234856 1278958 2557916 4476353 5115832 8952706 17905412 18544891 35810824 37089782 74179564 129814237 148359128 259628474 519256948 1038513896