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65148948 = 2234192557
BaseRepresentation
bin1111100010000…
…1100000010100
311112120220120000
43320201200110
5113134231243
610244211300
71420520424
oct370414024
9145526500
1065148948
1133858407
1219999b30
1310660797
14891c484
155abd5d3
hex3e21814

65148948 has 90 divisors (see below), whose sum is σ = 180070506. Its totient is φ = 20536416.

The previous prime is 65148931. The next prime is 65148977. The reversal of 65148948 is 84984156.

It can be written as a sum of positive squares in only one way, i.e., 42224004 + 22924944 = 6498^2 + 4788^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 116686 + ... + 117242.

Almost surely, 265148948 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 65148948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90035253).

65148948 is an abundant number, since it is smaller than the sum of its proper divisors (114921558).

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

65148948 is a wasteful number, since it uses less digits than its factorization.

65148948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 581 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 65148948 is about 8071.4898253049. The cubic root of 65148948 is about 402.3794590366.

The spelling of 65148948 in words is "sixty-five million, one hundred forty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 557 684 722 1026 1083 1114 1444 1539 1671 2052 2166 2228 3078 3249 3342 4332 5013 6156 6498 6684 9747 10026 10583 12996 15039 19494 20052 21166 29241 30078 31749 38988 42332 45117 58482 60156 63498 90234 95247 116964 126996 180468 190494 201077 285741 380988 402154 571482 603231 804308 857223 1142964 1206462 1714446 1809693 2412924 3428892 3619386 5429079 7238772 10858158 16287237 21716316 32574474 65148948