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18794952 = 233211191249
BaseRepresentation
bin100011110110…
…0100111001000
31022100212211100
41013230213020
514302414302
61510501400
7315516531
oct107544710
938325740
1018794952
11a677a20
126364860
133b80a97
1426d3688
1519b3d1c
hex11ec9c8

18794952 has 96 divisors (see below), whose sum is σ = 58500000. Its totient is φ = 5391360.

The previous prime is 18794947. The next prime is 18794957. The reversal of 18794952 is 25949781.

It is an interprime number because it is at equal distance from previous prime (18794947) and next prime (18794957).

It is a junction number, because it is equal to n+sod(n) for n = 18794898 and 18794907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18794957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14424 + ... + 15672.

It is an arithmetic number, because the mean of its divisors is an integer number (609375).

Almost surely, 218794952 is an apocalyptic number.

18794952 is a gapful number since it is divisible by the number (12) 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 18794952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29250000).

18794952 is an abundant number, since it is smaller than the sum of its proper divisors (39705048).

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

18794952 is a wasteful number, since it uses less digits than its factorization.

18794952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1284 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 18794952 is about 4335.3145214621. The cubic root of 18794952 is about 265.8767778718.

The spelling of 18794952 in words is "eighteen million, seven hundred ninety-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1249 1254 1368 1672 1881 2498 2508 3747 3762 4996 5016 7494 7524 9992 11241 13739 14988 15048 22482 23731 27478 29976 41217 44964 47462 54956 71193 82434 89928 94924 109912 123651 142386 164868 189848 213579 247302 261041 284772 329736 427158 494604 522082 569544 783123 854316 989208 1044164 1566246 1708632 2088328 2349369 3132492 4698738 6264984 9397476 18794952