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498742440 = 233573171873
BaseRepresentation
bin11101101110100…
…011010010101000
31021202110202000020
4131232203102220
52010134224230
6121253440440
715234145410
oct3556432250
91252422006
10498742440
11236588639
1211b040120
137c434891
144a349640
152dbba810
hex1dba34a8

498742440 has 128 divisors (see below), whose sum is σ = 1716284160. Its totient is φ = 113577984.

The previous prime is 498742369. The next prime is 498742441. The reversal of 498742440 is 44247894.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 498742392 and 498742401.

It is not an unprimeable number, because it can be changed into a prime (498742441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265344 + ... + 267216.

It is an arithmetic number, because the mean of its divisors is an integer number (13408470).

Almost surely, 2498742440 is an apocalyptic number.

498742440 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 498742440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858142080).

498742440 is an abundant number, since it is smaller than the sum of its proper divisors (1217541720).

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

498742440 is a wasteful number, since it uses less digits than its factorization.

498742440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 498742440 is about 22332.5421750413. The cubic root of 498742440 is about 793.0345499795.

The spelling of 498742440 in words is "four hundred ninety-eight million, seven hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 317 420 634 840 951 1268 1585 1873 1902 2219 2536 3170 3746 3804 4438 4755 5619 6340 6657 7492 7608 8876 9365 9510 11095 11238 12680 13111 13314 14984 17752 18730 19020 22190 22476 26222 26628 28095 33285 37460 38040 39333 44380 44952 52444 53256 56190 65555 66570 74920 78666 88760 104888 112380 131110 133140 157332 196665 224760 262220 266280 314664 393330 524440 593741 786660 1187482 1573320 1781223 2374964 2968705 3562446 4156187 4749928 5937410 7124892 8312374 8906115 11874820 12468561 14249784 16624748 17812230 20780935 23749640 24937122 33249496 35624460 41561870 49874244 62342805 71248920 83123740 99748488 124685610 166247480 249371220 498742440