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65190048 = 2537118819
BaseRepresentation
bin1111100010101…
…1100010100000
311112122222221020
43320223202200
5113142040143
610245125440
71421051310
oct370534240
9145588836
1065190048
1133886280
12199b9880
13106763c1
14892d440
155aca883
hex3e2b8a0

65190048 has 96 divisors (see below), whose sum is σ = 213373440. Its totient is φ = 16930560.

The previous prime is 65190031. The next prime is 65190049. The reversal of 65190048 is 84009156.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (65190049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2983 + ... + 11801.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 265190048 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 65190048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

65190048 is an abundant number, since it is smaller than the sum of its proper divisors (148183392).

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

65190048 is a wasteful number, since it uses less digits than its factorization.

65190048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8850 (or 8842 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 65190048 is about 8074.0354222656. The cubic root of 65190048 is about 402.4640565617.

The spelling of 65190048 in words is "sixty-five million, one hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 8819 17638 26457 35276 52914 61733 70552 97009 105828 123466 141104 185199 194018 211656 246932 282208 291027 370398 388036 423312 493864 582054 679063 740796 776072 846624 987728 1164108 1358126 1481592 1552144 1975456 2037189 2328216 2716252 2963184 3104288 4074378 4656432 5432504 5926368 8148756 9312864 10865008 16297512 21730016 32595024 65190048