Search a number
-
+
973115352 = 23321110711483
BaseRepresentation
bin111010000000001…
…000111111011000
32111211002101022100
4322000020333120
53443104142402
6240321123400
733054225666
oct7200107730
92454071270
10973115352
1145a330a70
12231a89560
131267b6201
149334dc36
155a67071c
hex3a008fd8

973115352 has 96 divisors (see below), whose sum is σ = 2902236480. Its totient is φ = 292102080.

The previous prime is 973115347. The next prime is 973115383. The reversal of 973115352 is 253511379.

973115352 is a `hidden beast` number, since 97 + 31 + 1 + 535 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 79003 + ... + 90485.

It is an arithmetic number, because the mean of its divisors is an integer number (30231630).

Almost surely, 2973115352 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 973115352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451118240).

973115352 is an abundant number, since it is smaller than the sum of its proper divisors (1929121128).

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

973115352 is a wasteful number, since it uses less digits than its factorization.

973115352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11613 (or 11606 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 973115352 is about 31194.7968738378. The cubic root of 973115352 is about 990.9569198747.

The spelling of 973115352 in words is "nine hundred seventy-three million, one hundred fifteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 107 132 198 214 264 321 396 428 642 792 856 963 1177 1284 1926 2354 2568 3531 3852 4708 7062 7704 9416 10593 11483 14124 21186 22966 28248 34449 42372 45932 68898 84744 91864 103347 126313 137796 206694 252626 275592 378939 413388 505252 757878 826776 1010504 1136817 1228681 1515756 2273634 2457362 3031512 3686043 4547268 4914724 7372086 9094536 9829448 11058129 13515491 14744172 22116258 27030982 29488344 40546473 44232516 54061964 81092946 88465032 108123928 121639419 162185892 243278838 324371784 486557676 973115352