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51698416 = 24711291447
BaseRepresentation
bin1100010100110…
…1101011110000
310121021112220011
43011031223300
5101213322131
65044024304
71165300150
oct305155360
9117245804
1051698416
1127200870
1215392094
13a9314a3
146c1a760
1548130b1
hex314daf0

51698416 has 80 divisors (see below), whose sum is σ = 129277440. Its totient is φ = 19434240.

The previous prime is 51698407. The next prime is 51698419. The reversal of 51698416 is 61489615.

51698416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51698419) 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 15 ways as a sum of consecutive naturals, for example, 35005 + ... + 36451.

It is an arithmetic number, because the mean of its divisors is an integer number (1615968).

Almost surely, 251698416 is an apocalyptic number.

51698416 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 51698416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64638720).

51698416 is an abundant number, since it is smaller than the sum of its proper divisors (77579024).

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

51698416 is a wasteful number, since it uses less digits than its factorization.

51698416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1496 counting only the distinct ones).

The product of its digits is 51840, while the sum is 40.

The square root of 51698416 is about 7190.1610552198. The cubic root of 51698416 is about 372.5281356464.

The spelling of 51698416 in words is "fifty-one million, six hundred ninety-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 44 56 58 77 88 112 116 154 176 203 232 308 319 406 464 616 638 812 1232 1276 1447 1624 2233 2552 2894 3248 4466 5104 5788 8932 10129 11576 15917 17864 20258 23152 31834 35728 40516 41963 63668 81032 83926 111419 127336 162064 167852 222838 254672 293741 335704 445676 461593 587482 671408 891352 923186 1174964 1782704 1846372 2349928 3231151 3692744 4699856 6462302 7385488 12924604 25849208 51698416