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3025824 = 25343733
BaseRepresentation
bin1011100010101110100000
312200201122120
423202232200
51233311244
6144504240
734501434
oct13425640
95621576
103025824
11178738a
12101b080
1381c339
1458a9c4
153eb819
hex2e2ba0

3025824 has 48 divisors (see below), whose sum is σ = 8138592. Its totient is φ = 983808.

The previous prime is 3025819. The next prime is 3025837. The reversal of 3025824 is 4285203.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×30258242 = 18311221757952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3025794 and 3025803.

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, 3762 + ... + 4494.

It is an arithmetic number, because the mean of its divisors is an integer number (169554).

Almost surely, 23025824 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 3025824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069296).

3025824 is an abundant number, since it is smaller than the sum of its proper divisors (5112768).

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

3025824 is a wasteful number, since it uses less digits than its factorization.

3025824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3025824 is about 1739.4895803080. The cubic root of 3025824 is about 144.6376047388.

The spelling of 3025824 in words is "three million, twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 733 1032 1376 1466 2064 2199 2932 4128 4398 5864 8796 11728 17592 23456 31519 35184 63038 70368 94557 126076 189114 252152 378228 504304 756456 1008608 1512912 3025824