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5193792 = 263271127
BaseRepresentation
bin10011110100000001000000
3100202212112200
4103310001000
52312200132
6303153200
762101152
oct23640100
910685480
105193792
112a2819a
1218a5800
1310cb066
14992ad2
156c8d7c
hex4f4040

5193792 has 84 divisors (see below), whose sum is σ = 15215616. Its totient is φ = 1693440.

The previous prime is 5193781. The next prime is 5193817. The reversal of 5193792 is 2973915.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40833 + ... + 40959.

Almost surely, 25193792 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 5193792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607808).

5193792 is an abundant number, since it is smaller than the sum of its proper divisors (10021824).

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

5193792 is a wasteful number, since it uses less digits than its factorization.

5193792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 5193792 is about 2278.9892496456. The cubic root of 5193792 is about 173.1788498656.

The spelling of 5193792 in words is "five million, one hundred ninety-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 127 142 144 192 213 254 284 288 381 426 508 568 576 639 762 852 1016 1136 1143 1278 1524 1704 2032 2272 2286 2556 3048 3408 4064 4544 4572 5112 6096 6816 8128 9017 9144 10224 12192 13632 18034 18288 20448 24384 27051 36068 36576 40896 54102 72136 73152 81153 108204 144272 162306 216408 288544 324612 432816 577088 649224 865632 1298448 1731264 2596896 5193792