Search a number
-
+
95291430 = 235131631499
BaseRepresentation
bin1011010111000…
…00100000100110
320122022022021020
411223200200212
5143343311210
613242232010
72234651403
oct553404046
9218268236
1095291430
1149875953
1227ab5606
1316985580
14c9272aa
158574770
hex5ae0826

95291430 has 64 divisors (see below), whose sum is σ = 247968000. Its totient is φ = 23296896.

The previous prime is 95291411. The next prime is 95291437. The reversal of 95291430 is 3419259.

It is a junction number, because it is equal to n+sod(n) for n = 95291391 and 95291400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95291437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62821 + ... + 64319.

It is an arithmetic number, because the mean of its divisors is an integer number (3874500).

Almost surely, 295291430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95291430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123984000).

95291430 is an abundant number, since it is smaller than the sum of its proper divisors (152676570).

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

95291430 is a wasteful number, since it uses less digits than its factorization.

95291430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 95291430 is about 9761.7329404159. The cubic root of 95291430 is about 456.7563720508.

The spelling of 95291430 in words is "ninety-five million, two hundred ninety-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 163 195 326 390 489 815 978 1499 1630 2119 2445 2998 4238 4497 4890 6357 7495 8994 10595 12714 14990 19487 21190 22485 31785 38974 44970 58461 63570 97435 116922 194870 244337 292305 488674 584610 733011 1221685 1466022 2443370 3176381 3665055 6352762 7330110 9529143 15881905 19058286 31763810 47645715 95291430