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58259472 = 24319127503
BaseRepresentation
bin1101111000111…
…1100000010000
311001121212222020
43132033200100
5104403300342
65440411440
71305124455
oct336174020
9131555866
1058259472
112a982227
1217616b80
13c0ba97b
147a4782c
1551ac0ec
hex378f810

58259472 has 80 divisors (see below), whose sum is σ = 159989760. Its totient is φ = 18216576.

The previous prime is 58259441. The next prime is 58259479. The reversal of 58259472 is 27495285.

It is not an unprimeable number, because it can be changed into a prime (58259479) 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, 115573 + ... + 116075.

It is an arithmetic number, because the mean of its divisors is an integer number (1999872).

Almost surely, 258259472 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 58259472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79994880).

58259472 is an abundant number, since it is smaller than the sum of its proper divisors (101730288).

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

58259472 is a wasteful number, since it uses less digits than its factorization.

58259472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 654 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 58259472 is about 7632.7892673648. The cubic root of 58259472 is about 387.6640376599.

The spelling of 58259472 in words is "fifty-eight million, two hundred fifty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 127 152 228 254 304 381 456 503 508 762 912 1006 1016 1509 1524 2012 2032 2413 3018 3048 4024 4826 6036 6096 7239 8048 9557 9652 12072 14478 19114 19304 24144 28671 28956 38228 38608 57342 57912 63881 76456 114684 115824 127762 152912 191643 229368 255524 383286 458736 511048 766572 1022096 1213739 1533144 2427478 3066288 3641217 4854956 7282434 9709912 14564868 19419824 29129736 58259472