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58232064 = 2831161113
BaseRepresentation
bin1101111000100…
…0110100000000
311001120111101010
43132020310000
5104401411224
65440040520
71304651532
oct336106400
9131514333
1058232064
112a963680
1217603140
13c0ab357
147a3b852
1551a3e29
hex3788d00

58232064 has 144 divisors (see below), whose sum is σ = 173363904. Its totient is φ = 17203200.

The previous prime is 58232063. The next prime is 58232081. The reversal of 58232064 is 46023285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58232063) 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, 515272 + ... + 515384.

It is an arithmetic number, because the mean of its divisors is an integer number (1203916).

Almost surely, 258232064 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 58232064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86681952).

58232064 is an abundant number, since it is smaller than the sum of its proper divisors (115131840).

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

58232064 is a wasteful number, since it uses less digits than its factorization.

58232064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 58232064 is about 7630.9936443428. The cubic root of 58232064 is about 387.6032363161.

It can be divided in two parts, 5823 and 2064, that added together give a palindrome (7887).

The spelling of 58232064 in words is "fifty-eight million, two hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 113 122 128 132 176 183 192 226 244 256 264 339 352 366 384 452 488 528 671 678 704 732 768 904 976 1056 1243 1342 1356 1408 1464 1808 1952 2013 2112 2486 2684 2712 2816 2928 3616 3729 3904 4026 4224 4972 5368 5424 5856 6893 7232 7458 7808 8052 8448 9944 10736 10848 11712 13786 14464 14916 15616 16104 19888 20679 21472 21696 23424 27572 28928 29832 32208 39776 41358 42944 43392 46848 55144 59664 64416 75823 79552 82716 85888 86784 110288 119328 128832 151646 159104 165432 171776 220576 227469 238656 257664 303292 318208 330864 441152 454938 477312 515328 606584 661728 882304 909876 954624 1213168 1323456 1764608 1819752 2426336 2646912 3639504 4852672 5293824 7279008 9705344 14558016 19410688 29116032 58232064