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95694336 = 2932191093
BaseRepresentation
bin1011011010000…
…10111000000000
320200001202221200
411231002320000
5143444204321
613255021200
72241250143
oct555027000
9220052850
1095694336
114a020631
122806a800
1316a96a8a
14c9d005a
158603d26
hex5b42e00

95694336 has 120 divisors (see below), whose sum is σ = 290982120. Its totient is φ = 30191616.

The previous prime is 95694311. The next prime is 95694337. The reversal of 95694336 is 63349659.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 95694291 and 95694300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95694337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87006 + ... + 88098.

It is an arithmetic number, because the mean of its divisors is an integer number (2424851).

Almost surely, 295694336 is an apocalyptic number.

95694336 is a gapful number since it is divisible by the number (96) 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 95694336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145491060).

95694336 is an abundant number, since it is smaller than the sum of its proper divisors (195287784).

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

95694336 is a wasteful number, since it uses less digits than its factorization.

95694336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1117 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The square root of 95694336 is about 9782.3481843574. The cubic root of 95694336 is about 457.3992109785.

It can be divided in two parts, 95 and 694336, that added together give a triangular number (694431 = T1178).

The spelling of 95694336 in words is "ninety-five million, six hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1093 1152 1216 1368 1536 1824 2186 2304 2432 2736 3279 3648 4372 4608 4864 5472 6558 7296 8744 9728 9837 10944 13116 14592 17488 19674 20767 21888 26232 29184 34976 39348 41534 43776 52464 62301 69952 78696 83068 87552 104928 124602 139904 157392 166136 186903 209856 249204 279808 314784 332272 373806 419712 498408 559616 629568 664544 747612 839424 996816 1259136 1329088 1495224 1678848 1993632 2518272 2658176 2990448 3987264 5036544 5316352 5980896 7974528 10632704 11961792 15949056 23923584 31898112 47847168 95694336