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498227040 = 253253111161
BaseRepresentation
bin11101101100100…
…101011101100000
31021201111120000100
4131230211131200
52010021231130
6121234422400
715226600653
oct3554453540
91251446010
10498227040
11236266393
1211aa31a00
137c2b40cc
144a25389a
152db17c60
hex1db25760

498227040 has 144 divisors (see below), whose sum is σ = 1755202176. Its totient is φ = 128563200.

The previous prime is 498227027. The next prime is 498227053. The reversal of 498227040 is 40722894.

It is a Cunningham number, because it is equal to 223212-1.

It is an interprime number because it is at equal distance from previous prime (498227027) and next prime (498227053).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 498226986 and 498227004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39060 + ... + 50220.

It is an arithmetic number, because the mean of its divisors is an integer number (12188904).

Almost surely, 2498227040 is an apocalyptic number.

498227040 is a gapful number since it is divisible by the number (40) 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 498227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877601088).

498227040 is an abundant number, since it is smaller than the sum of its proper divisors (1256975136).

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

498227040 is a wasteful number, since it uses less digits than its factorization.

498227040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11213 (or 11202 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 498227040 is about 22320.9999775996. Note that the first 4 decimals coincide. The cubic root of 498227040 is about 792.7612820902.

The spelling of 498227040 in words is "four hundred ninety-eight million, two hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 11160 11161 14880 22320 22322 33483 44640 44644 55805 66966 89288 100449 111610 133932 167415 178576 200898 223220 267864 334830 345991 357152 401796 446440 502245 535728 669660 691982 803592 892880 1004490 1037973 1071456 1339320 1383964 1607184 1729955 1785760 2008980 2075946 2678640 2767928 3113919 3214368 3459910 4017960 4151892 5189865 5357280 5535856 6227838 6919820 8035920 8303784 10379730 11071712 12455676 13839640 15569595 16071840 16607568 20759460 24911352 27679280 31139190 33215136 41518920 49822704 55358560 62278380 83037840 99645408 124556760 166075680 249113520 498227040