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18718952 = 2371973241
BaseRepresentation
bin100011101101…
…0000011101000
31022020000120112
41013122003220
514243001302
61505113452
7315052130
oct107320350
938200515
1018718952
11a62590a
126328888
133b55305
1426b3ac0
15199b552
hex11da0e8

18718952 has 64 divisors (see below), whose sum is σ = 42979200. Its totient is φ = 7464960.

The previous prime is 18718951. The next prime is 18718957. The reversal of 18718952 is 25981781.

It is not an unprimeable number, because it can be changed into a prime (18718951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77552 + ... + 77792.

It is an arithmetic number, because the mean of its divisors is an integer number (671550).

Almost surely, 218718952 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 18718952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21489600).

18718952 is an abundant number, since it is smaller than the sum of its proper divisors (24260248).

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

18718952 is a wasteful number, since it uses less digits than its factorization.

18718952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its digits is 40320, while the sum is 41.

The square root of 18718952 is about 4326.5404193189. The cubic root of 18718952 is about 265.5179238458.

The spelling of 18718952 in words is "eighteen million, seven hundred eighteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 73 76 133 146 152 241 266 292 482 511 532 584 964 1022 1064 1387 1687 1928 2044 2774 3374 4088 4579 5548 6748 9158 9709 11096 13496 17593 18316 19418 32053 35186 36632 38836 64106 70372 77672 123151 128212 140744 246302 256424 334267 492604 668534 985208 1337068 2339869 2674136 4679738 9359476 18718952