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52464480 = 2535293769
BaseRepresentation
bin1100100000100…
…0101101100000
310122201110201220
43020020231200
5101412330410
65112255040
71204640445
oct310105540
9118643656
1052464480
1127684382
12156a1480
13ab3c093
146d799cc
154915070
hex3208b60

52464480 has 96 divisors (see below), whose sum is σ = 171007200. Its totient is φ = 13504512.

The previous prime is 52464469. The next prime is 52464481. The reversal of 52464480 is 8446425.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52464481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12036 + ... + 15804.

It is an arithmetic number, because the mean of its divisors is an integer number (1781325).

Almost surely, 252464480 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 52464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85503600).

52464480 is an abundant number, since it is smaller than the sum of its proper divisors (118542720).

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

52464480 is a wasteful number, since it uses less digits than its factorization.

52464480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 52464480 is about 7243.2368454994. The cubic root of 52464480 is about 374.3591543577.

The spelling of 52464480 in words is "fifty-two million, four hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 3769 4640 6960 7538 11307 13920 15076 18845 22614 30152 37690 45228 56535 60304 75380 90456 109301 113070 120608 150760 180912 218602 226140 301520 327903 361824 437204 452280 546505 603040 655806 874408 904560 1093010 1311612 1639515 1748816 1809120 2186020 2623224 3279030 3497632 4372040 5246448 6558060 8744080 10492896 13116120 17488160 26232240 52464480