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58316952 = 23331103761
BaseRepresentation
bin1101111001110…
…1100010011000
311001201210211010
43132131202120
5104412120302
65441533520
71305454161
oct336354230
9131653733
1058316952
112aa11431
12176442a0
13c10ab95
147a60768
1551be16c
hex379d898

58316952 has 64 divisors (see below), whose sum is σ = 152156160. Its totient is φ = 18604800.

The previous prime is 58316903. The next prime is 58316959. The reversal of 58316952 is 25961385.

It is a super-3 number, since 3×583169523 (a number of 24 digits) contains 333 as substring.

Its product of digits (64800) is a multiple of the sum of its prime divisors (900).

It is a self number, because there is not a number n which added to its sum of digits gives 58316952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58316959) 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, 76252 + ... + 77012.

It is an arithmetic number, because the mean of its divisors is an integer number (2377440).

Almost surely, 258316952 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 58316952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76078080).

58316952 is an abundant number, since it is smaller than the sum of its proper divisors (93839208).

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

58316952 is a wasteful number, since it uses less digits than its factorization.

58316952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 900 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 58316952 is about 7636.5536729601. The cubic root of 58316952 is about 387.7914882064.

The spelling of 58316952 in words is "fifty-eight million, three hundred sixteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 103 124 186 206 248 309 372 412 618 744 761 824 1236 1522 2283 2472 3044 3193 4566 6088 6386 9132 9579 12772 18264 19158 23591 25544 38316 47182 70773 76632 78383 94364 141546 156766 188728 235149 283092 313532 470298 566184 627064 940596 1881192 2429873 4859746 7289619 9719492 14579238 19438984 29158476 58316952