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19046742 = 23111379281
BaseRepresentation
bin100100010101…
…0000101010110
31022211200012220
41020222011112
514333443432
61520123210
7320615601
oct110520526
938750186
1019046742
11a82a110
126466506
133c3b580
14275b338
151a1372c
hex122a156

19046742 has 64 divisors (see below), whose sum is σ = 45480960. Its totient is φ = 5241600.

The previous prime is 19046719. The next prime is 19046743. The reversal of 19046742 is 24764091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19046743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67642 + ... + 67922.

It is an arithmetic number, because the mean of its divisors is an integer number (710640).

Almost surely, 219046742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19046742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22740480).

19046742 is an abundant number, since it is smaller than the sum of its proper divisors (26434218).

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

19046742 is a wasteful number, since it uses less digits than its factorization.

19046742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 19046742 is about 4364.2573251356. The cubic root of 19046742 is about 267.0588039764.

It can be divided in two parts, 1904 and 6742, that added together give a triangular number (8646 = T131).

The spelling of 19046742 in words is "nineteen million, forty-six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 79 143 158 237 281 286 429 474 562 843 858 869 1027 1686 1738 2054 2607 3081 3091 3653 5214 6162 6182 7306 9273 10959 11297 18546 21918 22199 22594 33891 40183 44398 66597 67782 80366 120549 133194 241098 244189 288587 488378 577174 732567 865761 1465134 1731522 3174457 6348914 9523371 19046742