Search a number
-
+
65090952 = 233611161
BaseRepresentation
bin1111100001001…
…1010110001000
311112110222000000
43320103112020
5113130402302
610243043000
71420156353
oct370232610
9145428000
1065090952
1133818883
1219970460
1310640274
14890529a
155aab31c
hex3e13588

65090952 has 56 divisors (see below), whose sum is σ = 183000990. Its totient is φ = 21695040.

The previous prime is 65090947. The next prime is 65090957. The reversal of 65090952 is 25909056.

It is an interprime number because it is at equal distance from previous prime (65090947) and next prime (65090957).

It can be written as a sum of positive squares in only one way, i.e., 64738116 + 352836 = 8046^2 + 594^2 .

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

It is not an unprimeable number, because it can be changed into a prime (65090957) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 252 + ... + 11412.

Almost surely, 265090952 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 65090952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91500495).

65090952 is an abundant number, since it is smaller than the sum of its proper divisors (117910038).

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

65090952 is a wasteful number, since it uses less digits than its factorization.

65090952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11185 (or 11166 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 65090952 is about 8067.8963800981. The cubic root of 65090952 is about 402.2600233537.

The spelling of 65090952 in words is "sixty-five million, ninety thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 11161 22322 33483 44644 66966 89288 100449 133932 200898 267864 301347 401796 602694 803592 904041 1205388 1808082 2410776 2712123 3616164 5424246 7232328 8136369 10848492 16272738 21696984 32545476 65090952