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18997792 = 2511311741
BaseRepresentation
bin100100001111…
…0001000100000
31022202012001221
41020132020200
514330412132
61515104424
7320323102
oct110361040
938665057
1018997792
11a7a6360
126442114
133c221c8
142747572
151a03e97
hex121e220

18997792 has 48 divisors (see below), whose sum is σ = 42142464. Its totient is φ = 8352000.

The previous prime is 18997757. The next prime is 18997799. The reversal of 18997792 is 29779981.

It is a super-2 number, since 2×189977922 = 721832201750528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18997799) 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, 10042 + ... + 11782.

It is an arithmetic number, because the mean of its divisors is an integer number (877968).

Almost surely, 218997792 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 18997792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21071232).

18997792 is an abundant number, since it is smaller than the sum of its proper divisors (23144672).

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

18997792 is a wasteful number, since it uses less digits than its factorization.

18997792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1785 counting only the distinct ones).

The product of its digits is 571536, while the sum is 52.

The square root of 18997792 is about 4358.6456612117. The cubic root of 18997792 is about 266.8298279264.

The spelling of 18997792 in words is "eighteen million, nine hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 1741 2728 3482 5456 6964 10912 13928 19151 27856 38302 53971 55712 76604 107942 153208 215884 306416 431768 593681 612832 863536 1187362 1727072 2374724 4749448 9498896 18997792