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51416736 = 2537194027
BaseRepresentation
bin1100010000100…
…0111010100000
310120202020111120
43010020322200
5101130313421
65034012240
71163015010
oct304107240
9116666446
1051416736
1127029178
1215277080
13a863207
146b85c40
1547a98c6
hex3108ea0

51416736 has 96 divisors (see below), whose sum is σ = 162408960. Its totient is φ = 13913856.

The previous prime is 51416723. The next prime is 51416741. The reversal of 51416736 is 63761415.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 51416697 and 51416706.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10755 + ... + 14781.

It is an arithmetic number, because the mean of its divisors is an integer number (1691760).

Almost surely, 251416736 is an apocalyptic number.

51416736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51416736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81204480).

51416736 is an abundant number, since it is smaller than the sum of its proper divisors (110992224).

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

51416736 is a wasteful number, since it uses less digits than its factorization.

51416736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 4058 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 51416736 is about 7170.5464226933. The cubic root of 51416736 is about 371.8503271157.

The spelling of 51416736 in words is "fifty-one million, four hundred sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4027 4256 6384 8054 12081 12768 16108 24162 28189 32216 48324 56378 64432 76513 84567 96648 112756 128864 153026 169134 193296 225512 229539 306052 338268 386592 451024 459078 535591 612104 676536 902048 918156 1071182 1224208 1353072 1606773 1836312 2142364 2448416 2706144 3213546 3672624 4284728 6427092 7345248 8569456 12854184 17138912 25708368 51416736