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993928 = 231319503
BaseRepresentation
bin11110010101010001000
31212111102011
43302222020
5223301203
633145304
711306515
oct3625210
91774364
10993928
11619831
123bb234
1328a530
141bc30c
1514976d
hexf2a88

993928 has 32 divisors (see below), whose sum is σ = 2116800. Its totient is φ = 433728.

The previous prime is 993919. The next prime is 993943. The reversal of 993928 is 829399.

It is a happy number.

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, 1725 + ... + 2227.

It is an arithmetic number, because the mean of its divisors is an integer number (66150).

2993928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058400).

993928 is an abundant number, since it is smaller than the sum of its proper divisors (1122872).

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

993928 is a wasteful number, since it uses less digits than its factorization.

993928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 537 counting only the distinct ones).

The product of its digits is 34992, while the sum is 40.

The square root of 993928 is about 996.9593773068. The cubic root of 993928 is about 99.7971889549.

The spelling of 993928 in words is "nine hundred ninety-three thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 503 988 1006 1976 2012 4024 6539 9557 13078 19114 26156 38228 52312 76456 124241 248482 496964 993928