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58084224 = 2731113751
BaseRepresentation
bin1101110110010…
…0101110000000
311001021222120120
43131210232000
5104332143344
65432540240
71303464522
oct335445600
9131258516
1058084224
112a8725a0
1217551680
13c058c83
1479dda12
155175219
hex3764b80

58084224 has 64 divisors (see below), whose sum is σ = 168324480. Its totient is φ = 17600000.

The previous prime is 58084219. The next prime is 58084241. The reversal of 58084224 is 42248085.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2652 + ... + 11099.

It is an arithmetic number, because the mean of its divisors is an integer number (2630070).

Almost surely, 258084224 is an apocalyptic number.

It is an amenable number.

58084224 is an abundant number, since it is smaller than the sum of its proper divisors (110240256).

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

58084224 is a wasteful number, since it uses less digits than its factorization.

58084224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13779 (or 13767 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 58084224 is about 7621.3006763938. The cubic root of 58084224 is about 387.2749416676.

The spelling of 58084224 in words is "fifty-eight million, eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 13751 27502 41253 55004 82506 110008 151261 165012 220016 302522 330024 440032 453783 605044 660048 880064 907566 1210088 1320096 1760128 1815132 2420176 2640192 3630264 4840352 5280384 7260528 9680704 14521056 19361408 29042112 58084224