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27875052 = 22321983491
BaseRepresentation
bin110101001010…
…1011011101100
31221110012101100
41222111123230
524114000202
62433243100
7455635242
oct152253354
957405340
1027875052
1114809a37
129403490
135a0ca1a
1439b8792
1526a941c
hex1a956ec

27875052 has 72 divisors (see below), whose sum is σ = 75216960. Its totient is φ = 8678880.

The previous prime is 27875027. The next prime is 27875059. The reversal of 27875052 is 25057872.

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 = 27874998 and 27875016.

It is not an unprimeable number, because it can be changed into a prime (27875059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56527 + ... + 57017.

It is an arithmetic number, because the mean of its divisors is an integer number (1044680).

Almost surely, 227875052 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 27875052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37608480).

27875052 is an abundant number, since it is smaller than the sum of its proper divisors (47341908).

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

27875052 is a wasteful number, since it uses less digits than its factorization.

27875052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 27875052 is about 5279.6829450261. The cubic root of 27875052 is about 303.2065382661.

The spelling of 27875052 in words is "twenty-seven million, eight hundred seventy-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 83 114 166 171 228 249 332 342 491 498 684 747 982 996 1473 1494 1577 1964 2946 2988 3154 4419 4731 5892 6308 8838 9329 9462 14193 17676 18658 18924 27987 28386 37316 40753 55974 56772 81506 83961 111948 122259 163012 167922 244518 335844 366777 489036 733554 774307 1467108 1548614 2322921 3097228 4645842 6968763 9291684 13937526 27875052