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18240948 = 22321173631
BaseRepresentation
bin100010110010…
…1010110110100
31021022201212200
41011211112310
514132202243
61450544500
7311021415
oct105452664
937281780
1018240948
11a329770
126138130
133a1887b
1425cb80c
151904ad3
hex11655b4

18240948 has 72 divisors (see below), whose sum is σ = 51070656. Its totient is φ = 5443200.

The previous prime is 18240919. The next prime is 18240961. The reversal of 18240948 is 84904281.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28593 + ... + 29223.

Almost surely, 218240948 is an apocalyptic number.

18240948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18240948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25535328).

18240948 is an abundant number, since it is smaller than the sum of its proper divisors (32829708).

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

18240948 is a wasteful number, since it uses less digits than its factorization.

18240948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 18240948 is about 4270.9422847892. The cubic root of 18240948 is about 263.2383349403.

The spelling of 18240948 in words is "eighteen million, two hundred forty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 146 198 219 292 396 438 631 657 803 876 1262 1314 1606 1893 2409 2524 2628 3212 3786 4818 5679 6941 7227 7572 9636 11358 13882 14454 20823 22716 27764 28908 41646 46063 62469 83292 92126 124938 138189 184252 249876 276378 414567 506693 552756 829134 1013386 1520079 1658268 2026772 3040158 4560237 6080316 9120474 18240948