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95414046 = 23713374723
BaseRepresentation
bin1011010111111…
…10011100011110
320122112112110120
411223332130132
5143411222141
613245015410
72236002030
oct553763436
9218475416
1095414046
1149949a92
1227b54566
13169c9320
14c959c50
15859ac66
hex5afe71e

95414046 has 64 divisors (see below), whose sum is σ = 241264128. Its totient is φ = 24478848.

The previous prime is 95414041. The next prime is 95414057. The reversal of 95414046 is 64041459.

It is a junction number, because it is equal to n+sod(n) for n = 95413998 and 95414016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95414041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17841 + ... + 22563.

It is an arithmetic number, because the mean of its divisors is an integer number (3769752).

Almost surely, 295414046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95414046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120632064).

95414046 is an abundant number, since it is smaller than the sum of its proper divisors (145850082).

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

95414046 is a wasteful number, since it uses less digits than its factorization.

95414046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4785.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 95414046 is about 9768.0113636298. The cubic root of 95414046 is about 456.9521981070.

The spelling of 95414046 in words is "ninety-five million, four hundred fourteen thousand, forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 4723 6734 9446 10101 14169 20202 28338 33061 61399 66122 99183 122798 174751 184197 198366 349502 368394 429793 524253 859586 1048506 1223257 1289379 2271763 2446514 2578758 3669771 4543526 6815289 7339542 13630578 15902341 31804682 47707023 95414046