Search a number
-
+
96799626 = 232711211331
BaseRepresentation
bin1011100010100…
…00101110001010
320202010221010100
411301100232022
5144240042001
613334430230
72253532440
oct561205612
9222127110
1096799626
114a705aa0
1228502376
1317092bb1
14cbdab90
158771586
hex5c50b8a

96799626 has 96 divisors (see below), whose sum is σ = 263517696. Its totient is φ = 24948000.

The previous prime is 96799621. The next prime is 96799627. The reversal of 96799626 is 62699769.

It is a happy number.

96799626 is a `hidden beast` number, since 9 + 6 + 7 + 9 + 9 + 626 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (96799621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292281 + ... + 292611.

It is an arithmetic number, because the mean of its divisors is an integer number (2744976).

Almost surely, 296799626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96799626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131758848).

96799626 is an abundant number, since it is smaller than the sum of its proper divisors (166718070).

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

96799626 is a wasteful number, since it uses less digits than its factorization.

96799626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 565 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 96799626 is about 9838.6800944029. The cubic root of 96799626 is about 459.1534935975.

The spelling of 96799626 in words is "ninety-six million, seven hundred ninety-nine thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 211 231 331 422 462 633 662 693 993 1266 1386 1477 1899 1986 2317 2321 2954 2979 3641 3798 4431 4634 4642 5958 6951 6963 7282 8862 10923 13293 13902 13926 16247 20853 20889 21846 25487 26586 32494 32769 41706 41778 48741 50974 65538 69841 76461 97482 139682 146223 152922 209523 229383 292446 419046 458766 488887 628569 768251 977774 1257138 1466661 1536502 2304753 2933322 4399983 4609506 5377757 6914259 8799966 10755514 13828518 16133271 32266542 48399813 96799626