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95048928 = 25321353479
BaseRepresentation
bin1011010101001…
…01010011100000
320121211222121200
411222211103200
5143313031203
613233121200
72232621402
oct552452340
9217758550
1095048928
114971a737
12279b9200
13168cc090
14c8a2b72
1585279a3
hex5aa54e0

95048928 has 144 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 28634112.

The previous prime is 95048927. The next prime is 95048939. The reversal of 95048928 is 82984059.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95048923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198193 + ... + 198671.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 295048928 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 95048928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

95048928 is an abundant number, since it is smaller than the sum of its proper divisors (202149792).

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

95048928 is a wasteful number, since it uses less digits than its factorization.

95048928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 95048928 is about 9749.3039751564. The cubic root of 95048928 is about 456.3685847259.

The spelling of 95048928 in words is "ninety-five million, forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 53 72 78 96 104 106 117 144 156 159 208 212 234 288 312 318 416 424 468 477 479 624 636 689 848 936 954 958 1248 1272 1378 1437 1696 1872 1908 1916 2067 2544 2756 2874 3744 3816 3832 4134 4311 5088 5512 5748 6201 6227 7632 7664 8268 8622 11024 11496 12402 12454 15264 15328 16536 17244 18681 22048 22992 24804 24908 25387 33072 34488 37362 45984 49608 49816 50774 56043 66144 68976 74724 76161 99216 99632 101548 112086 137952 149448 152322 198432 199264 203096 224172 228483 298896 304644 330031 406192 448344 456966 597792 609288 660062 812384 896688 913932 990093 1218576 1320124 1793376 1827864 1980186 2437152 2640248 2970279 3655728 3960372 5280496 5940558 7311456 7920744 10560992 11881116 15841488 23762232 31682976 47524464 95048928