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95896528 = 247213972
BaseRepresentation
bin1011011011101…
…00001111010000
320200110001022021
411231310033100
5144022142103
613303221224
72243051500
oct555641720
9220401267
1095896528
114a149532
1228147814
1316b37b10
14ca43a00
158643bbd
hex5b743d0

95896528 has 90 divisors (see below), whose sum is σ = 235184166. Its totient is φ = 37545984.

The previous prime is 95896513. The next prime is 95896529. The reversal of 95896528 is 82569859.

It can be written as a sum of positive squares in 3 ways, for example, as 2039184 + 93857344 = 1428^2 + 9688^2 .

It is a super-2 number, since 2×958965282 = 18392288164909568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95896529) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 988576 + ... + 988672.

Almost surely, 295896528 is an apocalyptic number.

95896528 is a gapful number since it is divisible by the number (98) 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 95896528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117592083).

95896528 is an abundant number, since it is smaller than the sum of its proper divisors (139287638).

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

95896528 is a wasteful number, since it uses less digits than its factorization.

95896528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 119 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 52.

The square root of 95896528 is about 9792.6772641602. The cubic root of 95896528 is about 457.7211297261.

Multiplying 95896528 by its sum of digits (52), we get a square (4986619456 = 706162).

95896528 divided by its sum of digits (52) gives a square (1844164 = 13582).

The spelling of 95896528 in words is "ninety-five million, eight hundred ninety-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 97 98 104 112 182 194 196 208 364 388 392 637 679 728 776 784 1261 1274 1358 1456 1552 2522 2548 2716 4753 5044 5096 5432 8827 9409 9506 10088 10192 10864 17654 18818 19012 20176 35308 37636 38024 61789 65863 70616 75272 76048 122317 123578 131726 141232 150544 244634 247156 263452 461041 489268 494312 526904 856219 922082 978536 988624 1053808 1712438 1844164 1957072 3424876 3688328 5993533 6849752 7376656 11987066 13699504 23974132 47948264 95896528