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58933056 = 2637133373
BaseRepresentation
bin1110000011001…
…1111101000000
311002220002221210
43200303331000
5110041324211
65503050120
71313631330
oct340637500
9132802853
1058933056
11302a2306
12178a0940
13c295440
147b810c0
1552919a6
hex3833f40

58933056 has 112 divisors (see below), whose sum is σ = 191967104. Its totient is φ = 15538176.

The previous prime is 58933051. The next prime is 58933073. The reversal of 58933056 is 65033985.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58933051) 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, 15786 + ... + 19158.

It is an arithmetic number, because the mean of its divisors is an integer number (1713992).

Almost surely, 258933056 is an apocalyptic number.

58933056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58933056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95983552).

58933056 is an abundant number, since it is smaller than the sum of its proper divisors (133034048).

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

58933056 is a wasteful number, since it uses less digits than its factorization.

58933056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3408 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 58933056 is about 7676.7868278336. The cubic root of 58933056 is about 389.1523470213.

The spelling of 58933056 in words is "fifty-eight million, nine hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 3373 4368 5824 6746 8736 10119 13492 17472 20238 23611 26984 40476 43849 47222 53968 70833 80952 87698 94444 107936 131547 141666 161904 175396 188888 215872 263094 283332 306943 323808 350792 377776 526188 566664 613886 647616 701584 755552 920829 1052376 1133328 1227772 1403168 1511104 1841658 2104752 2266656 2455544 2806336 3683316 4209504 4533312 4911088 7366632 8419008 9822176 14733264 19644352 29466528 58933056