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51384042 = 23267137311
BaseRepresentation
bin1100010000000…
…0111011101010
310120200120122200
43010000323222
5101123242132
65033201030
71162520463
oct304007352
9116616580
1051384042
1127006656
1215260176
13a851378
146b77d6a
15479ed7c
hex3100eea

51384042 has 48 divisors (see below), whose sum is σ = 114184512. Its totient is φ = 16695360.

The previous prime is 51384041. The next prime is 51384077. The reversal of 51384042 is 24048315.

It is a junction number, because it is equal to n+sod(n) for n = 51383997 and 51384015.

It is not an unprimeable number, because it can be changed into a prime (51384041) 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 23 ways as a sum of consecutive naturals, for example, 165067 + ... + 165377.

It is an arithmetic number, because the mean of its divisors is an integer number (2378844).

Almost surely, 251384042 is an apocalyptic number.

51384042 is an abundant number, since it is smaller than the sum of its proper divisors (62800470).

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

51384042 is a wasteful number, since it uses less digits than its factorization.

51384042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 51384042 is about 7168.2663175973. The cubic root of 51384042 is about 371.7714951164.

It can be divided in two parts, 5138 and 4042, that added together give a triangular number (9180 = T135).

The spelling of 51384042 in words is "fifty-one million, three hundred eighty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 67 134 137 201 274 311 402 411 603 622 822 933 1206 1233 1866 2466 2799 5598 9179 18358 20837 27537 41674 42607 55074 62511 82611 85214 125022 127821 165222 187533 255642 375066 383463 766926 2854669 5709338 8564007 17128014 25692021 51384042