Search a number
-
+
58196124 = 2233731571
BaseRepresentation
bin1101111000000…
…0000010011100
311001111200002000
43132000002130
5104344233444
65435202300
71304442000
oct336000234
9131450060
1058196124
112a939678
12175a6390
13c097b9c
147a2c700
155198469
hex378009c

58196124 has 96 divisors (see below), whose sum is σ = 176064000. Its totient is φ = 16616880.

The previous prime is 58196119. The next prime is 58196129. The reversal of 58196124 is 42169185.

It is an interprime number because it is at equal distance from previous prime (58196119) and next prime (58196129).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58196129) 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, 36259 + ... + 37829.

It is an arithmetic number, because the mean of its divisors is an integer number (1834000).

Almost surely, 258196124 is an apocalyptic number.

58196124 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 58196124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88032000).

58196124 is an abundant number, since it is smaller than the sum of its proper divisors (117867876).

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

58196124 is a wasteful number, since it uses less digits than its factorization.

58196124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1583 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 58196124 is about 7628.6384106209. The cubic root of 58196124 is about 387.5234788410.

The spelling of 58196124 in words is "fifty-eight million, one hundred ninety-six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 1029 1323 1372 1571 1764 2058 2646 3087 3142 4116 4713 5292 6174 6284 9261 9426 10997 12348 14139 18522 18852 21994 28278 32991 37044 42417 43988 56556 65982 76979 84834 98973 131964 153958 169668 197946 230937 296919 307916 395892 461874 538853 593838 692811 923748 1077706 1187676 1385622 1616559 2078433 2155412 2771244 3233118 4156866 4849677 6466236 8313732 9699354 14549031 19398708 29098062 58196124