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11978442 = 23572503
BaseRepresentation
bin101101101100…
…011011001010
3211112120100000
4231230123022
511031302232
61104423430
7203546400
oct55543312
924476300
1011978442
116841643
124017b76
132635248
14183b470
1510b927c
hexb6c6ca

11978442 has 72 divisors (see below), whose sum is σ = 31370976. Its totient is φ = 3415608.

The previous prime is 11978429. The next prime is 11978443. The reversal of 11978442 is 24487911.

It is a junction number, because it is equal to n+sod(n) for n = 11978397 and 11978406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11978443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23563 + ... + 24065.

It is an arithmetic number, because the mean of its divisors is an integer number (435708).

Almost surely, 211978442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11978442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685488).

11978442 is an abundant number, since it is smaller than the sum of its proper divisors (19392534).

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

11978442 is an equidigital number, since it uses as much as digits as its factorization.

11978442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 515 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 11978442 is about 3460.9885870947. The cubic root of 11978442 is about 228.8056677203.

The spelling of 11978442 in words is "eleven million, nine hundred seventy-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 503 567 882 1006 1134 1323 1509 1701 2646 3018 3402 3521 3969 4527 7042 7938 9054 10563 11907 13581 21126 23814 24647 27162 31689 40743 49294 63378 73941 81486 95067 122229 147882 190134 221823 244458 285201 443646 570402 665469 855603 1330938 1711206 1996407 3992814 5989221 11978442