Search a number
-
+
51526640 = 2451125323
BaseRepresentation
bin1100010010001…
…1101111110000
310120221211021002
43010203233300
5101142323030
65040221132
71163653304
oct304435760
9116854232
1051526640
11270a3800
121530a7a8
13a8a1249
146bb3d04
1547cc245
hex3123bf0

51526640 has 60 divisors (see below), whose sum is σ = 131705112. Its totient is φ = 18733440.

The previous prime is 51526633. The next prime is 51526663. The reversal of 51526640 is 4662515.

51526640 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 an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7019 + ... + 12341.

Almost surely, 251526640 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 51526640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65852556).

51526640 is an abundant number, since it is smaller than the sum of its proper divisors (80178472).

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

51526640 is a wasteful number, since it uses less digits than its factorization.

51526640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5358 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 51526640 is about 7178.2059039846. The cubic root of 51526640 is about 372.1150836751.

The spelling of 51526640 in words is "fifty-one million, five hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 5323 9680 10646 21292 26615 42584 53230 58553 85168 106460 117106 212920 234212 292765 425840 468424 585530 644083 936848 1171060 1288166 2342120 2576332 3220415 4684240 5152664 6440830 10305328 12881660 25763320 51526640