Search a number
-
+
2928688 = 24779331
BaseRepresentation
bin1011001011000000110000
312111210101221
423023000300
51222204223
6142434424
733615310
oct13130060
95453357
102928688
111720404
12b92a14
137b7069
14563440
153ccb5d
hex2cb030

2928688 has 40 divisors (see below), whose sum is σ = 6586880. Its totient is φ = 1235520.

The previous prime is 2928677. The next prime is 2928691. The reversal of 2928688 is 8868292.

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, 8683 + ... + 9013.

It is an arithmetic number, because the mean of its divisors is an integer number (164672).

22928688 is an apocalyptic number.

2928688 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 2928688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293440).

2928688 is an abundant number, since it is smaller than the sum of its proper divisors (3658192).

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

2928688 is a wasteful number, since it uses less digits than its factorization.

2928688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its digits is 110592, while the sum is 43.

The square root of 2928688 is about 1711.3409946589. The cubic root of 2928688 is about 143.0730062282.

The spelling of 2928688 in words is "two million, nine hundred twenty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 331 553 632 662 1106 1264 1324 2212 2317 2648 4424 4634 5296 8848 9268 18536 26149 37072 52298 104596 183043 209192 366086 418384 732172 1464344 2928688