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2835728 = 24723617
BaseRepresentation
bin1010110100010100010000
312100001212222
422310110100
51211220403
6140440212
733050300
oct12642420
95301788
102835728
111667585
12b49068
1378395c
1453b600
153b0338
hex2b4510

2835728 has 30 divisors (see below), whose sum is σ = 6393006. Its totient is φ = 1214976.

The previous prime is 2835697. The next prime is 2835733. The reversal of 2835728 is 8275382.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1517824 + 1317904 = 1232^2 + 1148^2 .

It is an unprimeable number.

It is an upside-down number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1025 + ... + 2592.

22835728 is an apocalyptic number.

2835728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2835728 is an abundant number, since it is smaller than the sum of its proper divisors (3557278).

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

2835728 is a wasteful number, since it uses less digits than its factorization.

2835728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3626 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 2835728 is about 1683.9619948205. The cubic root of 2835728 is about 141.5429329449.

The spelling of 2835728 in words is "two million, eight hundred thirty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 3617 7234 14468 25319 28936 50638 57872 101276 177233 202552 354466 405104 708932 1417864 2835728