Search a number
-
+
51514064 = 2473137401
BaseRepresentation
bin1100010010000…
…0101011010000
310120221012000022
43010200223100
5101141422224
65040043012
71163601530
oct304405320
9116835008
1051514064
1127095308
1215303468
13a8985c4
146bad4c0
1547c865e
hex3120ad0

51514064 has 80 divisors (see below), whose sum is σ = 121230336. Its totient is φ = 20736000.

The previous prime is 51514061. The next prime is 51514069. The reversal of 51514064 is 46041515.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51514061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128264 + ... + 128664.

Almost surely, 251514064 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 51514064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60615168).

51514064 is an abundant number, since it is smaller than the sum of its proper divisors (69716272).

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

51514064 is a wasteful number, since it uses less digits than its factorization.

51514064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 51514064 is about 7177.3298656255. The cubic root of 51514064 is about 372.0848074266.

Adding to 51514064 its reverse (46041515), we get a palindrome (97555579).

The spelling of 51514064 in words is "fifty-one million, five hundred fourteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 37 56 62 74 112 124 148 217 248 259 296 401 434 496 518 592 802 868 1036 1147 1604 1736 2072 2294 2807 3208 3472 4144 4588 5614 6416 8029 9176 11228 12431 14837 16058 18352 22456 24862 29674 32116 44912 49724 59348 64232 87017 99448 103859 118696 128464 174034 198896 207718 237392 348068 415436 459947 696136 830872 919894 1392272 1661744 1839788 3219629 3679576 6439258 7359152 12878516 25757032 51514064