Search a number
-
+
46396320 = 2535163593
BaseRepresentation
bin1011000011111…
…1001110100000
310020022011210020
42300333032200
543334140240
64334233440
71102235145
oct260771640
9106264706
1046396320
112420a273
1213655880
1397c6059
14623a3cc
1541170d0
hex2c3f3a0

46396320 has 96 divisors (see below), whose sum is σ = 147292992. Its totient is φ = 12275712.

The previous prime is 46396307. The next prime is 46396321. The reversal of 46396320 is 2369364.

46396320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (46396321) by changing a digit.

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, 77944 + ... + 78536.

It is an arithmetic number, because the mean of its divisors is an integer number (1534302).

Almost surely, 246396320 is an apocalyptic number.

46396320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46396320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73646496).

46396320 is an abundant number, since it is smaller than the sum of its proper divisors (100896672).

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

46396320 is a wasteful number, since it uses less digits than its factorization.

46396320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 46396320 is about 6811.4844197135. The cubic root of 46396320 is about 359.3308557749.

The spelling of 46396320 in words is "forty-six million, three hundred ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 163 240 326 480 489 593 652 815 978 1186 1304 1630 1779 1956 2372 2445 2608 2965 3260 3558 3912 4744 4890 5216 5930 6520 7116 7824 8895 9488 9780 11860 13040 14232 15648 17790 18976 19560 23720 26080 28464 35580 39120 47440 56928 71160 78240 94880 96659 142320 193318 284640 289977 386636 483295 579954 773272 966590 1159908 1449885 1546544 1933180 2319816 2899770 3093088 3866360 4639632 5799540 7732720 9279264 11599080 15465440 23198160 46396320