Search a number
-
+
95465952 = 253512277
BaseRepresentation
bin1011011000010…
…11000111100000
320122122011200000
411230023013200
5143414402302
613250100000
72236306251
oct554130740
9218564600
1095465952
1149984a8a
1227b7a600
1316a16b3a
14c970b28
1585ab31c
hex5b0b1e0

95465952 has 72 divisors (see below), whose sum is σ = 281559096. Its totient is φ = 31819392.

The previous prime is 95465947. The next prime is 95465959. The reversal of 95465952 is 25956459.

It is a happy number.

95465952 is a `hidden beast` number, since 9 + 54 + 6 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×954659522 = 18227495982532608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 95465898 and 95465907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95465959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1638 + ... + 13914.

It is an arithmetic number, because the mean of its divisors is an integer number (3910543).

Almost surely, 295465952 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 95465952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140779548).

95465952 is an abundant number, since it is smaller than the sum of its proper divisors (186093144).

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

95465952 is a wasteful number, since it uses less digits than its factorization.

95465952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12302 (or 12282 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 95465952 is about 9770.6679403201. The cubic root of 95465952 is about 457.0350449626.

The spelling of 95465952 in words is "ninety-five million, four hundred sixty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 12277 24554 36831 49108 73662 98216 110493 147324 196432 220986 294648 331479 392864 441972 589296 662958 883944 994437 1178592 1325916 1767888 1988874 2651832 2983311 3535776 3977748 5303664 5966622 7955496 10607328 11933244 15910992 23866488 31821984 47732976 95465952