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94164768 = 2534172137
BaseRepresentation
bin1011001110011…
…01011100100000
320120012001210000
411213031130200
5143101233033
613202140000
72222246565
oct547153440
9216161700
1094164768
1149176425
1227651600
131667c7c9
14c71286c
158400a13
hex59cd720

94164768 has 120 divisors (see below), whose sum is σ = 293363532. Its totient is φ = 29528064.

The previous prime is 94164757. The next prime is 94164799. The reversal of 94164768 is 86746149.

It can be written as a sum of positive squares in 2 ways, for example, as 92390544 + 1774224 = 9612^2 + 1332^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42996 + ... + 45132.

Almost surely, 294164768 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 94164768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146681766).

94164768 is an abundant number, since it is smaller than the sum of its proper divisors (199198764).

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

94164768 is a wasteful number, since it uses less digits than its factorization.

94164768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2159 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 94164768 is about 9703.8532552796. The cubic root of 94164768 is about 454.9491035127.

The spelling of 94164768 in words is "ninety-four million, one hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2137 2448 2592 2754 3672 4274 4896 5508 6411 7344 8548 11016 12822 14688 17096 19233 22032 25644 34192 36329 38466 44064 51288 57699 68384 72658 76932 102576 108987 115398 145316 153864 173097 205152 217974 230796 290632 307728 326961 346194 435948 461592 581264 615456 653922 692388 871896 923184 980883 1162528 1307844 1384776 1743792 1846368 1961766 2615688 2769552 2942649 3487584 3923532 5231376 5539104 5885298 7847064 10462752 11770596 15694128 23541192 31388256 47082384 94164768