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58419424 = 257416361
BaseRepresentation
bin1101111011011…
…0100011100000
311001221000101101
43132312203200
5104423410144
65444044144
71306362010
oct336664340
9131830341
1058419424
112aa81418
1217693654
13c14570b
147a89c40
1551de6d4
hex37b68e0

58419424 has 48 divisors (see below), whose sum is σ = 134670816. Its totient is φ = 24422400.

The previous prime is 58419421. The next prime is 58419443. The reversal of 58419424 is 42491485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58419421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6004 + ... + 12364.

It is an arithmetic number, because the mean of its divisors is an integer number (2805642).

Almost surely, 258419424 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 58419424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67335408).

58419424 is an abundant number, since it is smaller than the sum of its proper divisors (76251392).

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

58419424 is a wasteful number, since it uses less digits than its factorization.

58419424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6419 (or 6411 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 58419424 is about 7643.2600374448. The cubic root of 58419424 is about 388.0184920510.

The spelling of 58419424 in words is "fifty-eight million, four hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 6361 9184 12722 25444 44527 50888 89054 101776 178108 203552 260801 356216 521602 712432 1043204 1424864 1825607 2086408 3651214 4172816 7302428 8345632 14604856 29209712 58419424