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920694048 = 253233113451
BaseRepresentation
bin110110111000001…
…010110100100000
32101011110002210120
4312320022310200
53341144202143
6231205400240
731546525131
oct6670126440
92334402716
10920694048
1143278707a
12218409080
131189909a1
148a3c5c88
1555c68383
hex36e0ad20

920694048 has 96 divisors (see below), whose sum is σ = 2603446272. Its totient is φ = 284064000.

The previous prime is 920694037. The next prime is 920694091. The reversal of 920694048 is 840496029.

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

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, 61723 + ... + 75173.

It is an arithmetic number, because the mean of its divisors is an integer number (27119232).

Almost surely, 2920694048 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 920694048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301723136).

920694048 is an abundant number, since it is smaller than the sum of its proper divisors (1682752224).

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

920694048 is a wasteful number, since it uses less digits than its factorization.

920694048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13518 (or 13510 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 920694048 is about 30342.9406617091. The cubic root of 920694048 is about 972.8333384127.

The spelling of 920694048 in words is "nine hundred twenty million, six hundred ninety-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 69 92 93 96 124 138 184 186 248 276 368 372 496 552 713 736 744 992 1104 1426 1488 2139 2208 2852 2976 4278 5704 8556 11408 13451 17112 22816 26902 34224 40353 53804 68448 80706 107608 161412 215216 309373 322824 416981 430432 618746 645648 833962 928119 1237492 1250943 1291296 1667924 1856238 2474984 2501886 3335848 3712476 4949968 5003772 6671696 7424952 9590563 9899936 10007544 13343392 14849904 19181126 20015088 28771689 29699808 38362252 40030176 57543378 76724504 115086756 153449008 230173512 306898016 460347024 920694048