Search a number
-
+
95191074 = 232114753193
BaseRepresentation
bin1011010110010…
…00000000100010
320122010012121100
411223020000202
5143332103244
613240135230
72234052666
oct553100042
9218105540
1095191074
1149807510
1227a67516
131694b9a4
14c8dc8a6
158554b69
hex5ac8022

95191074 has 96 divisors (see below), whose sum is σ = 235332864. Its totient is φ = 27555840.

The previous prime is 95191073. The next prime is 95191081. The reversal of 95191074 is 47019159.

It is a super-2 number, since 2×951910742 = 18122681138546952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (95191073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493122 + ... + 493314.

It is an arithmetic number, because the mean of its divisors is an integer number (2451384).

Almost surely, 295191074 is an apocalyptic number.

95191074 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 95191074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117666432).

95191074 is an abundant number, since it is smaller than the sum of its proper divisors (140141790).

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

95191074 is a wasteful number, since it uses less digits than its factorization.

95191074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 95191074 is about 9756.5913104936. The cubic root of 95191074 is about 456.5959716756.

The spelling of 95191074 in words is "ninety-five million, one hundred ninety-one thousand, seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 47 53 66 94 99 106 141 159 193 198 282 318 386 423 477 517 579 583 846 954 1034 1158 1166 1551 1737 1749 2123 2491 3102 3474 3498 4246 4653 4982 5247 6369 7473 9071 9306 10229 10494 12738 14946 18142 19107 20458 22419 27213 27401 30687 38214 44838 54426 54802 61374 81639 82203 92061 99781 112519 163278 164406 184122 199562 225038 246609 299343 337557 480763 493218 598686 675114 898029 961526 1012671 1442289 1796058 2025342 2884578 4326867 5288393 8653734 10576786 15865179 31730358 47595537 95191074