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58004352 = 273277193
BaseRepresentation
bin1101110101000…
…1001110000000
311001010221000100
43131101032000
5104322114402
65431122400
71303012620
oct335211600
9131127010
1058004352
112a81858a
1217513400
13c02b803
1479bc880
15515b71c
hex3751380

58004352 has 96 divisors (see below), whose sum is σ = 190784880. Its totient is φ = 16570368.

The previous prime is 58004341. The next prime is 58004363. The reversal of 58004352 is 25340085.

It is an interprime number because it is at equal distance from previous prime (58004341) and next prime (58004363).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4468 + ... + 11660.

Almost surely, 258004352 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 58004352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95392440).

58004352 is an abundant number, since it is smaller than the sum of its proper divisors (132780528).

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

58004352 is a wasteful number, since it uses less digits than its factorization.

58004352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7220 (or 7205 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 58004352 is about 7616.0588233022. The cubic root of 58004352 is about 387.0973454615.

The spelling of 58004352 in words is "fifty-eight million, four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 7193 8064 14386 21579 28772 43158 50351 57544 64737 86316 100702 115088 129474 151053 172632 201404 230176 258948 302106 345264 402808 453159 460352 517896 604212 690528 805616 906318 920704 1035792 1208424 1381056 1611232 1812636 2071584 2416848 2762112 3222464 3625272 4143168 4833696 6444928 7250544 8286336 9667392 14501088 19334784 29002176 58004352