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52404560 = 24513411229
BaseRepresentation
bin1100011111101…
…0000101010000
310122121102112122
43013322011100
5101403421220
65111113412
71204300655
oct307720520
9118542478
1052404560
112764335a
1215672868
13ab1aa20
146d61c2c
154902425
hex31fa150

52404560 has 80 divisors (see below), whose sum is σ = 134522640. Its totient is φ = 18862080.

The previous prime is 52404497. The next prime is 52404563. The reversal of 52404560 is 6540425.

It can be written as a sum of positive squares in 8 ways, for example, as 2334784 + 50069776 = 1528^2 + 7076^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52404563) 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, 42026 + ... + 43254.

It is an arithmetic number, because the mean of its divisors is an integer number (1681533).

Almost surely, 252404560 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 52404560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67261320).

52404560 is an abundant number, since it is smaller than the sum of its proper divisors (82118080).

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

52404560 is a wasteful number, since it uses less digits than its factorization.

52404560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 52404560 is about 7239.0993914989. The cubic root of 52404560 is about 374.2165807809.

Adding to 52404560 its reverse (6540425), we get a palindrome (58944985).

The spelling of 52404560 in words is "fifty-two million, four hundred four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 205 208 260 328 410 520 533 656 820 1040 1066 1229 1640 2132 2458 2665 3280 4264 4916 5330 6145 8528 9832 10660 12290 15977 19664 21320 24580 31954 42640 49160 50389 63908 79885 98320 100778 127816 159770 201556 251945 255632 319540 403112 503890 639080 655057 806224 1007780 1278160 1310114 2015560 2620228 3275285 4031120 5240456 6550570 10480912 13101140 26202280 52404560