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1025233104 = 24379913079
BaseRepresentation
bin111101000110111…
…101000011010000
32122110011020102110
4331012331003100
54044424424404
6245422145320
734256223540
oct7506750320
92573136373
101025233104
11486798895
12247422240
1313453350c
149a239320
1560017b89
hex3d1bd0d0

1025233104 has 80 divisors (see below), whose sum is σ = 3030917120. Its totient is φ = 292533120.

The previous prime is 1025233087. The next prime is 1025233151. The reversal of 1025233104 is 4013325201.

1025233104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10252331042 = 2102205835074949632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331437 + ... + 334515.

It is an arithmetic number, because the mean of its divisors is an integer number (37886464).

Almost surely, 21025233104 is an apocalyptic number.

1025233104 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 1025233104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515458560).

1025233104 is an abundant number, since it is smaller than the sum of its proper divisors (2005684016).

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

1025233104 is a wasteful number, since it uses less digits than its factorization.

1025233104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1025233104 is about 32019.2614530692. The cubic root of 1025233104 is about 1008.3412645203.

Adding to 1025233104 its reverse (4013325201), we get a palindrome (5038558305).

The spelling of 1025233104 in words is "one billion, twenty-five million, two hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 991 1982 2973 3079 3964 5946 6158 6937 7928 9237 11892 12316 13874 15856 18474 20811 21553 23784 24632 27748 36948 41622 43106 47568 49264 55496 64659 73896 83244 86212 110992 129318 147792 166488 172424 258636 332976 344848 517272 1034544 3051289 6102578 9153867 12205156 18307734 21359023 24410312 36615468 42718046 48820624 64077069 73230936 85436092 128154138 146461872 170872184 256308276 341744368 512616552 1025233104