Search a number
-
+
95258072 = 237131743179
BaseRepresentation
bin1011010110110…
…00010111011000
320122020121111202
411223120113120
5143341224242
613241413332
72234452220
oct553302730
9218217452
1095258072
1149852888
1227a9a248
1316973330
14c919080
158569932
hex5ad85d8

95258072 has 128 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 34449408.

The previous prime is 95258063. The next prime is 95258087. The reversal of 95258072 is 27085259.

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, 532079 + ... + 532257.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 295258072 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 95258072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

95258072 is an abundant number, since it is smaller than the sum of its proper divisors (144242728).

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

95258072 is a wasteful number, since it uses less digits than its factorization.

95258072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 95258072 is about 9760.0241802979. The cubic root of 95258072 is about 456.7030680013.

The spelling of 95258072 in words is "ninety-five million, two hundred fifty-eight thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 43 52 56 68 86 91 104 119 136 172 179 182 221 238 301 344 358 364 442 476 559 602 716 728 731 884 952 1118 1204 1253 1432 1462 1547 1768 2236 2327 2408 2506 2924 3043 3094 3913 4472 4654 5012 5117 5848 6086 6188 7697 7826 9308 9503 10024 10234 12172 12376 15394 15652 16289 18616 19006 20468 21301 24344 30788 31304 32578 38012 39559 40936 42602 53879 61576 65156 66521 76024 79118 85204 100061 107758 130312 130849 133042 158236 170408 200122 215516 261698 266084 276913 316472 400244 431032 523396 532168 553826 700427 800488 915943 1046792 1107652 1400854 1701037 1831886 2215304 2801708 3402074 3663772 5603416 6804148 7327544 11907259 13608296 23814518 47629036 95258072