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58742280 = 23335109499
BaseRepresentation
bin1110000000010…
…1011000001000
311002112102021000
43200011120020
5110014223110
65455015000
71312205202
oct340053010
9132472230
1058742280
1130181a43
121780a460
13c22965c
147b31772
1552551c0
hex3805608

58742280 has 128 divisors (see below), whose sum is σ = 198000000. Its totient is φ = 15489792.

The previous prime is 58742279. The next prime is 58742287. The reversal of 58742280 is 8224785.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (58742287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117471 + ... + 117969.

It is an arithmetic number, because the mean of its divisors is an integer number (1546875).

Almost surely, 258742280 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 58742280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99000000).

58742280 is an abundant number, since it is smaller than the sum of its proper divisors (139257720).

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

58742280 is a wasteful number, since it uses less digits than its factorization.

58742280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 58742280 is about 7664.3512445608. The cubic root of 58742280 is about 388.7319763634.

The spelling of 58742280 in words is "fifty-eight million, seven hundred forty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 109 120 135 180 216 218 270 327 360 436 499 540 545 654 872 981 998 1080 1090 1308 1497 1635 1962 1996 2180 2495 2616 2943 2994 3270 3924 3992 4360 4491 4905 4990 5886 5988 6540 7485 7848 8982 9810 9980 11772 11976 13080 13473 14715 14970 17964 19620 19960 22455 23544 26946 29430 29940 35928 39240 44910 53892 54391 58860 59880 67365 89820 107784 108782 117720 134730 163173 179640 217564 269460 271955 326346 435128 489519 538920 543910 652692 815865 979038 1087820 1305384 1468557 1631730 1958076 2175640 2447595 2937114 3263460 3916152 4895190 5874228 6526920 7342785 9790380 11748456 14685570 19580760 29371140 58742280