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95634048 = 2733753127
BaseRepresentation
bin1011011001101…
…00001010000000
320122221201020210
411230310022000
5143440242143
613253434120
72240606316
oct554641200
9218851223
1095634048
1149a8a304
122803b940
1316a754c3
14c9b60b6
1585e1033
hex5b34280

95634048 has 128 divisors (see below), whose sum is σ = 267909120. Its totient is φ = 30191616.

The previous prime is 95634043. The next prime is 95634079. The reversal of 95634048 is 84043659.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×956340482 = 18291742273732608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 95633997 and 95634015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95634043) 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, 752961 + ... + 753087.

It is an arithmetic number, because the mean of its divisors is an integer number (2093040).

Almost surely, 295634048 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 95634048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133954560).

95634048 is an abundant number, since it is smaller than the sum of its proper divisors (172275072).

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

95634048 is a wasteful number, since it uses less digits than its factorization.

95634048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 95634048 is about 9779.2662301422. The cubic root of 95634048 is about 457.3031360599.

The spelling of 95634048 in words is "ninety-five million, six hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 53 64 74 96 106 111 127 128 148 159 192 212 222 254 296 318 381 384 424 444 508 592 636 762 848 888 1016 1184 1272 1524 1696 1776 1961 2032 2368 2544 3048 3392 3552 3922 4064 4699 4736 5088 5883 6096 6731 6784 7104 7844 8128 9398 10176 11766 12192 13462 14097 14208 15688 16256 18796 20193 20352 23532 24384 26924 28194 31376 37592 40386 47064 48768 53848 56388 62752 75184 80772 94128 107696 112776 125504 150368 161544 188256 215392 225552 249047 251008 300736 323088 376512 430784 451104 498094 601472 646176 747141 753024 861568 902208 996188 1292352 1494282 1804416 1992376 2584704 2988564 3984752 5977128 7969504 11954256 15939008 23908512 31878016 47817024 95634048