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7028352 = 27326101
BaseRepresentation
bin11010110011111010000000
3111020002002100
4122303322000
53244401402
6410350400
7113511552
oct32637200
914202070
107028352
113a70561
12242b400
1315c10b6
14d0d4d2
1593c71c
hex6b3e80

7028352 has 48 divisors (see below), whose sum is σ = 20228130. Its totient is φ = 2342400.

The previous prime is 7028341. The next prime is 7028377. The reversal of 7028352 is 2538207.

It can be written as a sum of positive squares in only one way, i.e., 5645376 + 1382976 = 2376^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1899 + ... + 4202.

Almost surely, 27028352 is an apocalyptic number.

7028352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7028352 is an abundant number, since it is smaller than the sum of its proper divisors (13199778).

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

7028352 is a wasteful number, since it uses less digits than its factorization.

7028352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6121 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7028352 is about 2651.1039210110. The cubic root of 7028352 is about 191.5510343069.

The spelling of 7028352 in words is "seven million, twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 6101 12202 18303 24404 36606 48808 54909 73212 97616 109818 146424 195232 219636 292848 390464 439272 585696 780928 878544 1171392 1757088 2342784 3514176 7028352