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3025792 = 27711307
BaseRepresentation
bin1011100010101110000000
312200201121101
423202232000
51233311132
6144504144
734501360
oct13425600
95621541
103025792
111787360
12101b054
1381c313
1458a9a0
153eb7e7
hex2e2b80

3025792 has 64 divisors (see below), whose sum is σ = 7539840. Its totient is φ = 1175040.

The previous prime is 3025747. The next prime is 3025793. The reversal of 3025792 is 2975203.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 3 + 0 + 27 + 59 + 75 + 96 + 219 .

It is a self number, because there is not a number n which added to its sum of digits gives 3025792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3025793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9703 + ... + 10009.

It is an arithmetic number, because the mean of its divisors is an integer number (117810).

Almost surely, 23025792 is an apocalyptic number.

3025792 is a gapful number since it is divisible by the number (32) 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 3025792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769920).

3025792 is an abundant number, since it is smaller than the sum of its proper divisors (4514048).

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

3025792 is a wasteful number, since it uses less digits than its factorization.

3025792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 3025792 is about 1739.4803821831. The cubic root of 3025792 is about 144.6370948590.

The spelling of 3025792 in words is "three million, twenty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 307 308 352 448 614 616 704 896 1228 1232 1408 2149 2456 2464 3377 4298 4912 4928 6754 8596 9824 9856 13508 17192 19648 23639 27016 34384 39296 47278 54032 68768 94556 108064 137536 189112 216128 275072 378224 432256 756448 1512896 3025792