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51719272 = 23112232101
BaseRepresentation
bin1100010101001…
…0110001101000
310121022121111121
43011102301220
5101220004042
65044305024
71165415023
oct305226150
9117277447
1051719272
1127215500
12153a2174
13a93ab27
146c241ba
154819367
hex3152c68

51719272 has 72 divisors (see below), whose sum is σ = 112529970. Its totient is φ = 22264000.

The previous prime is 51719263. The next prime is 51719293. The reversal of 51719272 is 27291715.

It can be written as a sum of positive squares in only one way, i.e., 30980356 + 20738916 = 5566^2 + 4554^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 512022 + ... + 512122.

Almost surely, 251719272 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 51719272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56264985).

51719272 is an abundant number, since it is smaller than the sum of its proper divisors (60810698).

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

51719272 is a wasteful number, since it uses less digits than its factorization.

51719272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 137 counting only the distinct ones).

The product of its digits is 8820, while the sum is 34.

The square root of 51719272 is about 7191.6112241973. The cubic root of 51719272 is about 372.5782235914.

The spelling of 51719272 in words is "fifty-one million, seven hundred nineteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 101 121 184 202 242 253 404 484 506 529 808 968 1012 1058 1111 2024 2116 2222 2323 2783 4232 4444 4646 5566 5819 8888 9292 11132 11638 12221 18584 22264 23276 24442 25553 46552 48884 51106 53429 64009 97768 102212 106858 128018 204424 213716 256036 281083 427432 512072 562166 587719 1124332 1175438 2248664 2350876 4701752 6464909 12929818 25859636 51719272