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52480000 = 2115441
BaseRepresentation
bin1100100000110…
…0100000000000
310122202021000201
43020030200000
5101413330000
65112454544
71205033626
oct310144000
9118667021
1052480000
1127695001
12156aa454
13ab46171
146d81516
15491996a
hex320c800

52480000 has 120 divisors (see below), whose sum is σ = 134324190. Its totient is φ = 20480000.

The previous prime is 52479991. The next prime is 52480013. The reversal of 52480000 is 8425.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1557504 + 50922496 = 1248^2 + 7136^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 52480000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1279980 + ... + 1280020.

Almost surely, 252480000 is an apocalyptic number.

52480000 is a gapful number since it is divisible by the number (50) 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 52480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67162095).

52480000 is an abundant number, since it is smaller than the sum of its proper divisors (81844190).

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

52480000 is an frugal number, since it uses more digits than its factorization.

52480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 52480000 is about 7244.3081105099. The cubic root of 52480000 is about 374.3960649256.

Adding to 52480000 its reverse (8425), we get a palindrome (52488425).

The spelling of 52480000 in words is "fifty-two million, four hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 128 160 164 200 205 250 256 320 328 400 410 500 512 625 640 656 800 820 1000 1024 1025 1250 1280 1312 1600 1640 2000 2048 2050 2500 2560 2624 3200 3280 4000 4100 5000 5120 5125 5248 6400 6560 8000 8200 10000 10240 10250 10496 12800 13120 16000 16400 20000 20500 20992 25600 25625 26240 32000 32800 40000 41000 41984 51200 51250 52480 64000 65600 80000 82000 83968 102500 104960 128000 131200 160000 164000 205000 209920 256000 262400 320000 328000 410000 419840 524800 640000 656000 820000 1049600 1280000 1312000 1640000 2099200 2624000 3280000 5248000 6560000 10496000 13120000 26240000 52480000