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993496 = 237113157
BaseRepresentation
bin11110010100011011000
31212110211011
43302203120
5223242441
633143304
711305330
oct3624330
91773734
10993496
11619479
123bab34
1328a28a
141bc0c0
15149581
hexf28d8

993496 has 32 divisors (see below), whose sum is σ = 2161440. Its totient is φ = 419328.

The previous prime is 993493. The next prime is 993527. The reversal of 993496 is 694399.

993496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6250 + ... + 6406.

It is an arithmetic number, because the mean of its divisors is an integer number (67545).

2993496 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 993496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080720).

993496 is an abundant number, since it is smaller than the sum of its proper divisors (1167944).

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

993496 is a wasteful number, since it uses less digits than its factorization.

993496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its digits is 52488, while the sum is 40.

The square root of 993496 is about 996.7426949820. The cubic root of 993496 is about 99.7827282719.

It can be divided in two parts, 993 and 496, that multiplied together give a triangular number (492528 = T992).

The spelling of 993496 in words is "nine hundred ninety-three thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 56 113 157 226 314 452 628 791 904 1099 1256 1582 2198 3164 4396 6328 8792 17741 35482 70964 124187 141928 248374 496748 993496