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51794640 = 243457993
BaseRepresentation
bin1100010110010…
…1001011010000
310121110102220000
43011211023100
5101224412030
65050050000
71166150532
oct305451320
9117412800
1051794640
1127267097
1215419900
13a966221
146c43852
154831860
hex31652d0

51794640 has 100 divisors (see below), whose sum is σ = 179912964. Its totient is φ = 13810176.

The previous prime is 51794629. The next prime is 51794641. The reversal of 51794640 is 4649715.

51794640 is a `hidden beast` number, since 5 + 1 + 7 + 9 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10732176 + 41062464 = 3276^2 + 6408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 51794595 and 51794604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51794641) 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 19 ways as a sum of consecutive naturals, for example, 2484 + ... + 10476.

Almost surely, 251794640 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 51794640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89956482).

51794640 is an abundant number, since it is smaller than the sum of its proper divisors (128118324).

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

51794640 is a wasteful number, since it uses less digits than its factorization.

51794640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8018 (or 8003 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 51794640 is about 7196.8493106359. The cubic root of 51794640 is about 372.7591158417.

The spelling of 51794640 in words is "fifty-one million, seven hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 7993 15986 23979 31972 39965 47958 63944 71937 79930 95916 119895 127888 143874 159860 191832 215811 239790 287748 319720 359685 383664 431622 479580 575496 639440 647433 719370 863244 959160 1079055 1150992 1294866 1438740 1726488 1918320 2158110 2589732 2877480 3237165 3452976 4316220 5179464 5754960 6474330 8632440 10358928 12948660 17264880 25897320 51794640