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28625940 = 2233577573
BaseRepresentation
bin110110100110…
…0110000010100
31222212100102000
41231030300110
524312012230
62501315300
7465213360
oct155146024
958770360
1028625940
1115182102
129705b30
135c13735
143b322a0
1527a6b60
hex1b4cc14

28625940 has 96 divisors (see below), whose sum is σ = 101794560. Its totient is φ = 6542208.

The previous prime is 28625939. The next prime is 28625941. The reversal of 28625940 is 4952682.

It is a happy number.

28625940 is a `hidden beast` number, since 2 + 8 + 62 + 594 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28625939) and next prime (28625941).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28625895 and 28625904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28625941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7 + ... + 7566.

It is an arithmetic number, because the mean of its divisors is an integer number (1060360).

Almost surely, 228625940 is an apocalyptic number.

28625940 is a gapful number since it is divisible by the number (20) 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 28625940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50897280).

28625940 is an abundant number, since it is smaller than the sum of its proper divisors (73168620).

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

28625940 is a wasteful number, since it uses less digits than its factorization.

28625940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7598 (or 7590 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 28625940 is about 5350.3214856679. The cubic root of 28625940 is about 305.9050070384.

The spelling of 28625940 in words is "twenty-eight million, six hundred twenty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 7573 15146 22719 30292 37865 45438 53011 68157 75730 90876 106022 113595 136314 151460 159033 204471 212044 227190 265055 272628 318066 340785 408942 454380 477099 530110 636132 681570 795165 817884 954198 1022355 1060220 1363140 1431297 1590330 1908396 2044710 2385495 2862594 3180660 4089420 4770990 5725188 7156485 9541980 14312970 28625940