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56833272 = 23332943211
BaseRepresentation
bin1101100011001…
…1010011111000
310221221102121000
43120303103320
5104022131042
65350045000
71260034446
oct330632370
9127842530
1056833272
112a098751
1217049760
13ba0b772
147795b96
154ec974c
hex36334f8

56833272 has 128 divisors (see below), whose sum is σ = 167904000. Its totient is φ = 17781120.

The previous prime is 56833267. The next prime is 56833297. The reversal of 56833272 is 27233865.

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

Its product of digits (60480) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269247 + ... + 269457.

It is an arithmetic number, because the mean of its divisors is an integer number (1311750).

Almost surely, 256833272 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 56833272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83952000).

56833272 is an abundant number, since it is smaller than the sum of its proper divisors (111070728).

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

56833272 is a wasteful number, since it uses less digits than its factorization.

56833272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 56833272 is about 7538.7845174139. The cubic root of 56833272 is about 384.4745110586.

The spelling of 56833272 in words is "fifty-six million, eight hundred thirty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 43 54 58 72 86 87 108 116 129 172 174 211 216 232 258 261 344 348 387 422 516 522 633 696 774 783 844 1032 1044 1161 1247 1266 1548 1566 1688 1899 2088 2322 2494 2532 3096 3132 3741 3798 4644 4988 5064 5697 6119 6264 7482 7596 9073 9288 9976 11223 11394 12238 14964 15192 18146 18357 22446 22788 24476 27219 29928 33669 36292 36714 44892 45576 48952 54438 55071 67338 72584 73428 81657 89784 108876 110142 134676 146856 163314 165213 217752 220284 244971 263117 269352 326628 330426 440568 489942 526234 653256 660852 789351 979884 1052468 1321704 1578702 1959768 2104936 2368053 3157404 4736106 6314808 7104159 9472212 14208318 18944424 28416636 56833272