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52483920 = 2435379577
BaseRepresentation
bin1100100000110…
…1011101010000
310122202110101220
43020031131100
5101413441140
65112525040
71205051226
oct310153520
9118673356
1052483920
1127697a45
12156b0780
13ab47b98
146d82b16
15491abd0
hex320d750

52483920 has 80 divisors (see below), whose sum is σ = 163412160. Its totient is φ = 13934592.

The previous prime is 52483919. The next prime is 52483927. The reversal of 52483920 is 2938425.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52483927) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 90672 + ... + 91248.

It is an arithmetic number, because the mean of its divisors is an integer number (2042652).

Almost surely, 252483920 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 52483920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81706080).

52483920 is an abundant number, since it is smaller than the sum of its proper divisors (110928240).

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

52483920 is a wasteful number, since it uses less digits than its factorization.

52483920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 52483920 is about 7244.5786626967. The cubic root of 52483920 is about 374.4053865468.

The spelling of 52483920 in words is "fifty-two million, four hundred eighty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 379 577 758 1137 1154 1516 1731 1895 2274 2308 2885 3032 3462 3790 4548 4616 5685 5770 6064 6924 7580 8655 9096 9232 11370 11540 13848 15160 17310 18192 22740 23080 27696 30320 34620 45480 46160 69240 90960 138480 218683 437366 656049 874732 1093415 1312098 1749464 2186830 2624196 3280245 3498928 4373660 5248392 6560490 8747320 10496784 13120980 17494640 26241960 52483920