Search a number
-
+
95330048 = 281197349
BaseRepresentation
bin1011010111010…
…01111100000000
320122101021020112
411223221330000
5143401030143
613243130452
72235202112
oct553517400
9218337215
1095330048
11498a1970
1227b13a28
131699a018
14c9373b2
158580e18
hex5ae9f00

95330048 has 72 divisors (see below), whose sum is σ = 210327600. Its totient is φ = 42762240.

The previous prime is 95330041. The next prime is 95330057. The reversal of 95330048 is 84003359.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 95329996 and 95330023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95330041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272978 + ... + 273326.

Almost surely, 295330048 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 95330048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105163800).

95330048 is an abundant number, since it is smaller than the sum of its proper divisors (114997552).

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

95330048 is a wasteful number, since it uses less digits than its factorization.

95330048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 95330048 is about 9763.7107699890. The cubic root of 95330048 is about 456.8180657250.

The spelling of 95330048 in words is "ninety-five million, three hundred thirty thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 128 176 194 256 349 352 388 698 704 776 1067 1396 1408 1552 2134 2792 2816 3104 3839 4268 5584 6208 7678 8536 11168 12416 15356 17072 22336 24832 30712 33853 34144 44672 61424 67706 68288 89344 122848 135412 136576 245696 270824 273152 372383 491392 541648 744766 982784 1083296 1489532 2166592 2979064 4333184 5958128 8666368 11916256 23832512 47665024 95330048