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58426368 = 21037111319
BaseRepresentation
bin1101111011100…
…0010000000000
311001221100220120
43132320100000
5104424120433
65444140240
71306421160
oct336702000
9131840816
1058426368
112aa86660
1217697680
13c148920
147a8c5a0
1551e17b3
hex37b8400

58426368 has 352 divisors, whose sum is σ = 220093440. Its totient is φ = 13271040.

The previous prime is 58426339. The next prime is 58426409. The reversal of 58426368 is 86362485.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3075063 + ... + 3075081.

Almost surely, 258426368 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 58426368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110046720).

58426368 is an abundant number, since it is smaller than the sum of its proper divisors (161667072).

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

58426368 is a wasteful number, since it uses less digits than its factorization.

58426368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 55 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 58426368 is about 7643.7142803744. The cubic root of 58426368 is about 388.0338653262.

It can be divided in two parts, 58 and 426368, that added together give a triangular number (426426 = T923).

The spelling of 58426368 in words is "fifty-eight million, four hundred twenty-six thousand, three hundred sixty-eight".