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48325320 = 23325241557
BaseRepresentation
bin1011100001011…
…0001011001000
310100221011212200
42320112023020
544332402240
64443440200
71124521101
oct270261310
9110834780
1048325320
112530758a
1214226060
13a020084
1465bd3a8
154398930
hex2e162c8

48325320 has 96 divisors (see below), whose sum is σ = 157992120. Its totient is φ = 12810240.

The previous prime is 48325297. The next prime is 48325337. The reversal of 48325320 is 2352384.

It can be written as a sum of positive squares in 4 ways, for example, as 34082244 + 14243076 = 5838^2 + 3774^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86482 + ... + 87038.

Almost surely, 248325320 is an apocalyptic number.

48325320 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 48325320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78996060).

48325320 is an abundant number, since it is smaller than the sum of its proper divisors (109666800).

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

48325320 is a wasteful number, since it uses less digits than its factorization.

48325320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 48325320 is about 6951.6415327604. The cubic root of 48325320 is about 364.2433063172.

The spelling of 48325320 in words is "forty-eight million, three hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 241 360 482 557 723 964 1114 1205 1446 1671 1928 2169 2228 2410 2785 2892 3342 3615 4338 4456 4820 5013 5570 5784 6684 7230 8355 8676 9640 10026 10845 11140 13368 14460 16710 17352 20052 21690 22280 25065 28920 33420 40104 43380 50130 66840 86760 100260 134237 200520 268474 402711 536948 671185 805422 1073896 1208133 1342370 1610844 2013555 2416266 2684740 3221688 4027110 4832532 5369480 6040665 8054220 9665064 12081330 16108440 24162660 48325320