Search a number
-
+
58797144 = 23337371051
BaseRepresentation
bin1110000001001…
…0110001011000
311002122012112000
43200102301120
5110023002034
65500121000
71312524150
oct340226130
9132565460
1058797144
113020a18a
1217836160
13c248613
147b47760
155266599
hex3812c58

58797144 has 128 divisors (see below), whose sum is σ = 191884800. Its totient is φ = 16329600.

The previous prime is 58797133. The next prime is 58797161. The reversal of 58797144 is 44179785.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 58797144.

It is a congruent number.

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, 55419 + ... + 56469.

It is an arithmetic number, because the mean of its divisors is an integer number (1499100).

Almost surely, 258797144 is an apocalyptic number.

58797144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58797144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95942400).

58797144 is an abundant number, since it is smaller than the sum of its proper divisors (133087656).

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

58797144 is a wasteful number, since it uses less digits than its factorization.

58797144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1100 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 58797144 is about 7667.9295771414. The cubic root of 58797144 is about 388.8529610830.

The spelling of 58797144 in words is "fifty-eight million, seven hundred ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 84 108 111 126 148 168 189 216 222 252 259 296 333 378 444 504 518 666 756 777 888 999 1036 1051 1332 1512 1554 1998 2072 2102 2331 2664 3108 3153 3996 4204 4662 6216 6306 6993 7357 7992 8408 9324 9459 12612 13986 14714 18648 18918 22071 25224 27972 28377 29428 37836 38887 44142 55944 56754 58856 66213 75672 77774 88284 113508 116661 132426 155548 176568 198639 227016 233322 264852 272209 311096 349983 397278 466644 529704 544418 699966 794556 816627 933288 1049949 1088836 1399932 1589112 1633254 2099898 2177672 2449881 2799864 3266508 4199796 4899762 6533016 7349643 8399592 9799524 14699286 19599048 29398572 58797144