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2875488 = 253711389
BaseRepresentation
bin1010111110000001100000
312102002102120
422332001200
51214003423
6141344240
733304230
oct12760140
95362376
102875488
111694440
12b68080
13798a95
1454bcc0
153bbee3
hex2be060

2875488 has 96 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 744960.

The previous prime is 2875469. The next prime is 2875489. The reversal of 2875488 is 8845782.

2875488 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 215 + 83 + 77 + 59 + 4 + 85 + 85 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2875489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7198 + ... + 7586.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

22875488 is an apocalyptic number.

2875488 is a gapful number since it is divisible by the number (28) 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 2875488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

2875488 is an abundant number, since it is smaller than the sum of its proper divisors (6559392).

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

2875488 is a wasteful number, since it uses less digits than its factorization.

2875488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its digits is 143360, while the sum is 42.

The square root of 2875488 is about 1695.7263930245. The cubic root of 2875488 is about 142.2013937959.

It can be divided in two parts, 28754 and 88, that multiplied together give a palindrome (2530352).

The spelling of 2875488 in words is "two million, eight hundred seventy-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 389 462 528 616 672 778 924 1056 1167 1232 1556 1848 2334 2464 2723 3112 3696 4279 4668 5446 6224 7392 8169 8558 9336 10892 12448 12837 16338 17116 18672 21784 25674 29953 32676 34232 37344 43568 51348 59906 65352 68464 87136 89859 102696 119812 130704 136928 179718 205392 239624 261408 359436 410784 479248 718872 958496 1437744 2875488