Search a number
-
+
96316992 = 2633139401
BaseRepresentation
bin1011011110110…
…10111001000000
320201020102002000
411233122321000
5144124120432
613320224000
72246452362
oct557327100
9221212060
1096316992
114a406422
122830b000
1316c54305
14cb12d32
1586c857c
hex5bdae40

96316992 has 112 divisors (see below), whose sum is σ = 285902400. Its totient is φ = 31795200.

The previous prime is 96316991. The next prime is 96316999. The reversal of 96316992 is 29961369.

It is a happy number.

96316992 is a `hidden beast` number, since 9 + 631 + 6 + 9 + 9 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96316991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239992 + ... + 240392.

It is an arithmetic number, because the mean of its divisors is an integer number (2552700).

Almost surely, 296316992 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 96316992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142951200).

96316992 is an abundant number, since it is smaller than the sum of its proper divisors (189585408).

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

96316992 is a wasteful number, since it uses less digits than its factorization.

96316992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 545 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 96316992 is about 9814.1220697523. The cubic root of 96316992 is about 458.3891228471.

It can be divided in two parts, 963 and 16992, that added together give a triangular number (17955 = T189).

The spelling of 96316992 in words is "ninety-six million, three hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 139 144 192 216 278 288 401 417 432 556 576 802 834 864 1112 1203 1251 1604 1668 1728 2224 2406 2502 3208 3336 3609 3753 4448 4812 5004 6416 6672 7218 7506 8896 9624 10008 10827 12832 13344 14436 15012 19248 20016 21654 25664 26688 28872 30024 38496 40032 43308 55739 57744 60048 76992 80064 86616 111478 115488 120096 167217 173232 222956 230976 240192 334434 346464 445912 501651 668868 692928 891824 1003302 1337736 1504953 1783648 2006604 2675472 3009906 3567296 4013208 5350944 6019812 8026416 10701888 12039624 16052832 24079248 32105664 48158496 96316992