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7880328 = 233412161
BaseRepresentation
bin11110000011111010001000
3112211100210000
4132003322020
54004132303
6440523000
7123660501
oct36037210
915740700
107880328
1144a2675
122780460
13182bb21
141091ba8
15a59da3
hex783e88

7880328 has 40 divisors (see below), whose sum is σ = 22074030. Its totient is φ = 2626560.

The previous prime is 7880321. The next prime is 7880347. The reversal of 7880328 is 8230887.

It can be written as a sum of positive squares in only one way, i.e., 7387524 + 492804 = 2718^2 + 702^2 .

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 = 7880292 and 7880301.

It is not an unprimeable number, because it can be changed into a prime (7880321) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 5433 + ... + 6728.

Almost surely, 27880328 is an apocalyptic number.

It is an amenable number.

7880328 is an abundant number, since it is smaller than the sum of its proper divisors (14193702).

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

7880328 is a wasteful number, since it uses less digits than its factorization.

7880328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12179 (or 12166 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 7880328 is about 2807.1921914967. The cubic root of 7880328 is about 198.9977188867.

The spelling of 7880328 in words is "seven million, eight hundred eighty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 12161 24322 36483 48644 72966 97288 109449 145932 218898 291864 328347 437796 656694 875592 985041 1313388 1970082 2626776 3940164 7880328