Search a number
-
+
56076372 = 2232111929257
BaseRepresentation
bin1101010111101…
…0100001010100
310220111222022200
43111322201110
5103323420442
65321524500
71250432652
oct325724124
9126458280
1056076372
1129721010
1216943730
13b8050b1
147639dd2
154dca34c
hex357a854

56076372 has 144 divisors (see below), whose sum is σ = 169041600. Its totient is φ = 15482880.

The previous prime is 56076367. The next prime is 56076403. The reversal of 56076372 is 27367065.

It is a happy number.

56076372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 218068 + ... + 218324.

It is an arithmetic number, because the mean of its divisors is an integer number (1173900).

Almost surely, 256076372 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 56076372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84520800).

56076372 is an abundant number, since it is smaller than the sum of its proper divisors (112965228).

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

56076372 is a wasteful number, since it uses less digits than its factorization.

56076372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 56076372 is about 7488.4158538372. The cubic root of 56076372 is about 382.7600794316.

The spelling of 56076372 in words is "fifty-six million, seventy-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 29 33 36 38 44 57 58 66 76 87 99 114 116 132 171 174 198 209 228 257 261 319 342 348 396 418 514 522 551 627 638 684 771 836 957 1028 1044 1102 1254 1276 1542 1653 1881 1914 2204 2313 2508 2827 2871 3084 3306 3762 3828 4626 4883 4959 5654 5742 6061 6612 7453 7524 8481 9252 9766 9918 11308 11484 12122 14649 14906 16962 18183 19532 19836 22359 24244 25443 29298 29812 33924 36366 43947 44718 50886 53713 54549 58596 67077 72732 81983 87894 89436 101772 107426 109098 134154 141607 161139 163966 175788 214852 218196 245949 268308 283214 322278 327932 424821 483417 491898 566428 644556 737847 849642 966834 983796 1274463 1475694 1557677 1699284 1933668 2548926 2951388 3115354 4673031 5097852 6230708 9346062 14019093 18692124 28038186 56076372