Search a number
-
+
9204713952 = 2537131104561
BaseRepresentation
bin10001001001010010…
…01100100111100000
3212202111021220202120
420210221030213200
5122322401321302
64121212544240
7444046530510
oct104451144740
925674256676
109204713952
1139a3903915
12194a782080
13b38cc8105
146346a3840
1538d1679bc
hex224a4c9e0

9204713952 has 96 divisors (see below), whose sum is σ = 27825202944. Its totient is φ = 2609817600.

The previous prime is 9204713923. The next prime is 9204713963. The reversal of 9204713952 is 2593174029.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 35752 + ... + 140312.

It is an arithmetic number, because the mean of its divisors is an integer number (289845864).

Almost surely, 29204713952 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 9204713952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13912601472).

9204713952 is an abundant number, since it is smaller than the sum of its proper divisors (18620488992).

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

9204713952 is a wasteful number, since it uses less digits than its factorization.

9204713952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104712 (or 104704 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 9204713952 is about 95941.2004928018. The cubic root of 9204713952 is about 2095.7369262699.

The spelling of 9204713952 in words is "nine billion, two hundred four million, seven hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 131 168 224 262 336 393 524 672 786 917 1048 1572 1834 2096 2751 3144 3668 4192 5502 6288 7336 11004 12576 14672 22008 29344 44016 88032 104561 209122 313683 418244 627366 731927 836488 1254732 1463854 1672976 2195781 2509464 2927708 3345952 4391562 5018928 5855416 8783124 10037856 11710832 13697491 17566248 23421664 27394982 35132496 41092473 54789964 70264992 82184946 95882437 109579928 164369892 191764874 219159856 287647311 328739784 383529748 438319712 575294622 657479568 767059496 1150589244 1314959136 1534118992 2301178488 3068237984 4602356976 9204713952