Search a number
-
+
95226404 = 22731319281
BaseRepresentation
bin1011010110100…
…00101000100100
320122012000001212
411223100220210
5143334221104
613241010552
72234261000
oct553205044
9218160055
1095226404
1149831009
1227a83a58
1316961ab0
14c90b700
15856036e
hex5ad0a24

95226404 has 96 divisors (see below), whose sum is σ = 221088000. Its totient is φ = 35562240.

The previous prime is 95226353. The next prime is 95226421. The reversal of 95226404 is 40462259.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338744 + ... + 339024.

It is an arithmetic number, because the mean of its divisors is an integer number (2303000).

Almost surely, 295226404 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 95226404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110544000).

95226404 is an abundant number, since it is smaller than the sum of its proper divisors (125861596).

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

95226404 is a wasteful number, since it uses less digits than its factorization.

95226404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 95226404 is about 9758.4017133955. The cubic root of 95226404 is about 456.6524529530.

The spelling of 95226404 in words is "ninety-five million, two hundred twenty-six thousand, four hundred four".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 182 196 247 266 281 343 364 494 532 562 637 686 931 988 1124 1274 1372 1729 1862 1967 2548 3458 3653 3724 3934 4459 5339 6517 6916 7306 7868 8918 10678 12103 13034 13769 14612 17836 21356 24206 25571 26068 27538 37373 48412 51142 55076 69407 74746 84721 96383 102284 138814 149492 169442 178997 192766 261611 277628 338884 357994 385532 485849 523222 715988 971698 1046444 1252979 1831277 1943396 2505958 3400943 3662554 5011916 6801886 7325108 13603772 23806601 47613202 95226404