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18496944 = 243347911
BaseRepresentation
bin100011010001…
…1110110110000
31021210202001000
41012203312300
514213400234
61500242000
7313135644
oct106436660
937722030
1018496944
11a494034
126240300
133aa824b
142656c24
151955899
hex11a3db0

18496944 has 80 divisors (see below), whose sum is σ = 54282240. Its totient is φ = 6027840.

The previous prime is 18496939. The next prime is 18496949. The reversal of 18496944 is 44969481.

It is an interprime number because it is at equal distance from previous prime (18496939) and next prime (18496949).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18496944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18496949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19849 + ... + 20759.

It is an arithmetic number, because the mean of its divisors is an integer number (678528).

Almost surely, 218496944 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 18496944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27141120).

18496944 is an abundant number, since it is smaller than the sum of its proper divisors (35785296).

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

18496944 is a wasteful number, since it uses less digits than its factorization.

18496944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 963 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 18496944 is about 4300.8073660651. The cubic root of 18496944 is about 264.4640598296.

The spelling of 18496944 in words is "eighteen million, four hundred ninety-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 911 1128 1269 1692 1822 2256 2538 2733 3384 3644 5076 5466 6768 7288 8199 10152 10932 14576 16398 20304 21864 24597 32796 42817 43728 49194 65592 85634 98388 128451 131184 171268 196776 256902 342536 385353 393552 513804 685072 770706 1027608 1156059 1541412 2055216 2312118 3082824 4624236 6165648 9248472 18496944