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189964376 = 2373107647
BaseRepresentation
bin10110101001010…
…10000001011000
3111020110012010122
423110222001120
5342112330001
630503332412
74464446000
oct1324520130
9436405118
10189964376
1198259058
1253751108
1330482474
141b32d000
1511a25b1b
hexb52a058

189964376 has 64 divisors (see below), whose sum is σ = 419904000. Its totient is φ = 80527776.

The previous prime is 189964367. The next prime is 189964403. The reversal of 189964376 is 673469981.

It is a congruent number.

It is an unprimeable number.

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, 293285 + ... + 293931.

It is an arithmetic number, because the mean of its divisors is an integer number (6561000).

Almost surely, 2189964376 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 189964376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209952000).

189964376 is an abundant number, since it is smaller than the sum of its proper divisors (229939624).

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

189964376 is a wasteful number, since it uses less digits than its factorization.

189964376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 763 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 53.

The square root of 189964376 is about 13782.7564732168. The cubic root of 189964376 is about 574.8537760505.

The spelling of 189964376 in words is "one hundred eighty-nine million, nine hundred sixty-four thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 107 196 214 343 392 428 647 686 749 856 1294 1372 1498 2588 2744 2996 4529 5176 5243 5992 9058 10486 18116 20972 31703 36232 36701 41944 63406 69229 73402 126812 138458 146804 221921 253624 276916 293608 443842 484603 553832 887684 969206 1775368 1938412 3392221 3876824 6784442 13568884 23745547 27137768 47491094 94982188 189964376