Search a number
-
+
53050880 = 295172353
BaseRepresentation
bin1100101001011…
…1111000000000
310200211021010102
43022113320000
5102040112010
65133021532
71212632201
oct312277000
9120737112
1053050880
1127a44a03
12159248a8
13acb5c6c
14708d5a8
1549cdba5
hex3297e00

53050880 has 160 divisors (see below), whose sum is σ = 143187264. Its totient is φ = 18743296.

The previous prime is 53050867. The next prime is 53050891. The reversal of 53050880 is 8805035.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

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, 1000934 + ... + 1000986.

Almost surely, 253050880 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 53050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71593632).

53050880 is an abundant number, since it is smaller than the sum of its proper divisors (90136384).

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

53050880 is a wasteful number, since it uses less digits than its factorization.

53050880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 53050880 is about 7283.6035037610. The cubic root of 53050880 is about 375.7487381224.

The spelling of 53050880 in words is "fifty-three million, fifty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 23 32 34 40 46 53 64 68 80 85 92 106 115 128 136 160 170 184 212 230 256 265 272 320 340 368 391 424 460 512 530 544 640 680 736 782 848 901 920 1060 1088 1219 1280 1360 1472 1564 1696 1802 1840 1955 2120 2176 2438 2560 2720 2944 3128 3392 3604 3680 3910 4240 4352 4505 4876 5440 5888 6095 6256 6784 7208 7360 7820 8480 8704 9010 9752 10880 11776 12190 12512 13568 14416 14720 15640 16960 18020 19504 20723 21760 24380 25024 27136 28832 29440 31280 33920 36040 39008 41446 43520 48760 50048 57664 58880 62560 67840 72080 78016 82892 97520 100096 103615 115328 125120 135680 144160 156032 165784 195040 200192 207230 230656 250240 288320 312064 331568 390080 414460 461312 500480 576640 624128 663136 780160 828920 1000960 1153280 1326272 1560320 1657840 2306560 2652544 3120640 3315680 5305088 6631360 10610176 13262720 26525440 53050880