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948364092 = 2233131096197
BaseRepresentation
bin111000100001101…
…110001100111100
32110002111212222000
4320201232030330
53420240122332
6234034422300
732333650614
oct7041561474
92402455860
10948364092
11447365a85
12225731990
1312162b2b0
148dd49a44
15583d1b7c
hex3886e33c

948364092 has 96 divisors (see below), whose sum is σ = 2672577600. Its totient is φ = 289080576.

The previous prime is 948364049. The next prime is 948364103. The reversal of 948364092 is 290463849.

948364092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149938 + ... + 156134.

It is an arithmetic number, because the mean of its divisors is an integer number (27839350).

Almost surely, 2948364092 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 948364092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336288800).

948364092 is an abundant number, since it is smaller than the sum of its proper divisors (1724213508).

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

948364092 is a wasteful number, since it uses less digits than its factorization.

948364092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6332 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 948364092 is about 30795.5206483021. The cubic root of 948364092 is about 982.4829762216.

The spelling of 948364092 in words is "nine hundred forty-eight million, three hundred sixty-four thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 109 117 156 218 234 327 351 436 468 654 702 981 1308 1404 1417 1962 2834 2943 3924 4251 5668 5886 6197 8502 11772 12394 12753 17004 18591 24788 25506 37182 38259 51012 55773 74364 76518 80561 111546 153036 161122 167319 223092 241683 322244 334638 483366 669276 675473 725049 966732 1350946 1450098 2026419 2175147 2701892 2900196 4052838 4350294 6079257 8105676 8700588 8781149 12158514 17562298 18237771 24317028 26343447 35124596 36475542 52686894 72951084 79030341 105373788 158060682 237091023 316121364 474182046 948364092