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50864640 = 293537179
BaseRepresentation
bin1100001000001…
…0001000000000
310112201012011120
43002002020000
5101010132030
65014112240
71155225261
oct302021000
9115635146
1050864640
11267913a2
121504b680
13a6cbb28
146a80968
1546eb010
hex3082200

50864640 has 160 divisors (see below), whose sum is σ = 167935680. Its totient is φ = 13123584.

The previous prime is 50864633. The next prime is 50864647. The reversal of 50864640 is 4646805.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (50864633) and next prime (50864647).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50864647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284071 + ... + 284249.

It is an arithmetic number, because the mean of its divisors is an integer number (1049598).

Almost surely, 250864640 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 50864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83967840).

50864640 is an abundant number, since it is smaller than the sum of its proper divisors (117071040).

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

50864640 is a wasteful number, since it uses less digits than its factorization.

50864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 50864640 is about 7131.9450362436. The cubic root of 50864640 is about 370.5145992743.

The spelling of 50864640 in words is "fifty million, eight hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 179 185 192 222 240 256 296 320 358 370 384 444 480 512 537 555 592 640 716 740 768 888 895 960 1074 1110 1184 1280 1432 1480 1536 1776 1790 1920 2148 2220 2368 2560 2685 2864 2960 3552 3580 3840 4296 4440 4736 5370 5728 5920 6623 7104 7160 7680 8592 8880 9472 10740 11456 11840 13246 14208 14320 17184 17760 18944 19869 21480 22912 23680 26492 28416 28640 33115 34368 35520 39738 42960 45824 47360 52984 56832 57280 66230 68736 71040 79476 85920 91648 94720 99345 105968 114560 132460 137472 142080 158952 171840 198690 211936 229120 264920 274944 284160 317904 343680 397380 423872 458240 529840 635808 687360 794760 847744 1059680 1271616 1374720 1589520 1695488 2119360 2543232 3179040 3390976 4238720 5086464 6358080 8477440 10172928 12716160 16954880 25432320 50864640