Search a number
-
+
65450052 = 223331113173
BaseRepresentation
bin1111100110101…
…1000001000100
311120011012121000
43321223001010
5113223400202
610254453300
71423213323
oct371530104
9146135530
1065450052
1133a43658
1219b04230
1310737855
14899a0ba
155b2c91c
hex3e6b044

65450052 has 96 divisors (see below), whose sum is σ = 177730560. Its totient is φ = 20805120.

The previous prime is 65450029. The next prime is 65450053. The reversal of 65450052 is 25005456.

65450052 is a `hidden beast` number, since 654 + 5 + 0 + 0 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 65449998 and 65450025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65450053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378238 + ... + 378410.

It is an arithmetic number, because the mean of its divisors is an integer number (1851360).

Almost surely, 265450052 is an apocalyptic number.

65450052 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65450052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88865280).

65450052 is an abundant number, since it is smaller than the sum of its proper divisors (112280508).

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

65450052 is a wasteful number, since it uses less digits than its factorization.

65450052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 65450052 is about 8090.1206418693. The cubic root of 65450052 is about 402.9984093594.

The spelling of 65450052 in words is "sixty-five million, four hundred fifty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 113 124 173 186 226 279 339 346 372 452 519 558 678 692 837 1017 1038 1116 1356 1557 1674 2034 2076 3051 3114 3348 3503 4068 4671 5363 6102 6228 7006 9342 10509 10726 12204 14012 16089 18684 19549 21018 21452 31527 32178 39098 42036 48267 58647 63054 64356 78196 94581 96534 117294 126108 144801 175941 189162 193068 234588 289602 351882 378324 527823 579204 606019 703764 1055646 1212038 1818057 2111292 2424076 3636114 5454171 7272228 10908342 16362513 21816684 32725026 65450052