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96369378 = 23722989127
BaseRepresentation
bin1011011111001…
…11101011100010
320201100001221020
411233213223202
5144132310003
613321310310
72250061200
oct557475342
9221301836
1096369378
114a441816
1228335396
1316c72101
14cb28070
1586d8d53
hex5be7ae2

96369378 has 96 divisors (see below), whose sum is σ = 236390400. Its totient is φ = 26078976.

The previous prime is 96369373. The next prime is 96369389. The reversal of 96369378 is 87396369.

It is a happy number.

It is a super-2 number, since 2×963693782 = 18574114032213768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96369378.

It is not an unprimeable number, because it can be changed into a prime (96369373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 758751 + ... + 758877.

It is an arithmetic number, because the mean of its divisors is an integer number (2462400).

Almost surely, 296369378 is an apocalyptic number.

96369378 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96369378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118195200).

96369378 is an abundant number, since it is smaller than the sum of its proper divisors (140021022).

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

96369378 is a wasteful number, since it uses less digits than its factorization.

96369378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 96369378 is about 9816.7906160822. The cubic root of 96369378 is about 458.4722124449.

The spelling of 96369378 in words is "ninety-six million, three hundred sixty-nine thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 87 89 98 127 147 174 178 203 254 267 294 381 406 534 609 623 762 889 1218 1246 1421 1778 1869 2581 2667 2842 3683 3738 4263 4361 5162 5334 6223 7366 7743 8526 8722 11049 11303 12446 13083 15486 18067 18669 22098 22606 25781 26166 33909 36134 37338 51562 54201 67818 77343 79121 108402 126469 154686 158242 180467 237363 252938 327787 360934 379407 474726 541401 553847 655574 758814 983361 1082802 1107694 1661541 1966722 2294509 3323082 4589018 6883527 13767054 16061563 32123126 48184689 96369378