[go: up one dir, main page]

Search a number
-
+
52591104 = 2932101113
BaseRepresentation
bin1100100010011…
…1101000000000
310122221220102200
43020213220000
5101430403404
65115113200
71206005556
oct310475000
9118856380
1052591104
1127760525
1215742800
13ab848c7
146dadbd6
15493c839
hex3227a00

52591104 has 120 divisors (see below), whose sum is σ = 154640772. Its totient is φ = 17203200.

The previous prime is 52591093. The next prime is 52591127. The reversal of 52591104 is 40119525.

It can be written as a sum of positive squares in 2 ways, for example, as 52533504 + 57600 = 7248^2 + 240^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 465352 + ... + 465464.

Almost surely, 252591104 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 52591104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77320386).

52591104 is an abundant number, since it is smaller than the sum of its proper divisors (102049668).

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

52591104 is a wasteful number, since it uses less digits than its factorization.

52591104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 52591104 is about 7251.9724213486. The cubic root of 52591104 is about 374.6600866502.

The spelling of 52591104 in words is "fifty-two million, five hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 113 128 144 192 202 226 256 288 303 339 384 404 452 512 576 606 678 768 808 904 909 1017 1152 1212 1356 1536 1616 1808 1818 2034 2304 2424 2712 3232 3616 3636 4068 4608 4848 5424 6464 7232 7272 8136 9696 10848 11413 12928 14464 14544 16272 19392 21696 22826 25856 28928 29088 32544 34239 38784 43392 45652 51712 57856 58176 65088 68478 77568 86784 91304 102717 116352 130176 136956 155136 173568 182608 205434 232704 260352 273912 365216 410868 465408 520704 547824 730432 821736 1095648 1460864 1643472 2191296 2921728 3286944 4382592 5843456 6573888 8765184 13147776 17530368 26295552 52591104