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18972944 = 2419139449
BaseRepresentation
bin100100001100…
…0000100010000
31022200220222122
41020120010100
514324113234
61514353412
7320160464
oct110300420
938626878
1018972944
11a789721
12642b868
133c13ac3
14273c4a4
1519eb92e
hex1218110

18972944 has 40 divisors (see below), whose sum is σ = 39060000. Its totient is φ = 8902656.

The previous prime is 18972937. The next prime is 18972973. The reversal of 18972944 is 44927981.

It is a junction number, because it is equal to n+sod(n) for n = 18972895 and 18972904.

It is a congruent 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, 42032 + ... + 42480.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 218972944 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 18972944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19530000).

18972944 is an abundant number, since it is smaller than the sum of its proper divisors (20087056).

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

18972944 is a wasteful number, since it uses less digits than its factorization.

18972944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The square root of 18972944 is about 4355.7943018467. The cubic root of 18972944 is about 266.7134445717.

The spelling of 18972944 in words is "eighteen million, nine hundred seventy-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 139 152 278 304 449 556 898 1112 1796 2224 2641 3592 5282 7184 8531 10564 17062 21128 34124 42256 62411 68248 124822 136496 249644 499288 998576 1185809 2371618 4743236 9486472 18972944