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245253400 = 23527315651
BaseRepresentation
bin11101001111001…
…00010100011000
3122002111011102021
432213210110120
51000241102100
640200344224
76035422330
oct1647442430
9562434367
10245253400
11116491567
126a175074
133ba70072
14248020c0
15167e7a1a
hexe9e4518

245253400 has 96 divisors (see below), whose sum is σ = 672814080. Its totient is φ = 81360000.

The previous prime is 245253317. The next prime is 245253401. The reversal of 245253400 is 4352542.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245253401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40575 + ... + 46225.

It is an arithmetic number, because the mean of its divisors is an integer number (7008480).

Almost surely, 2245253400 is an apocalyptic number.

245253400 is a gapful number since it is divisible by the number (20) 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 245253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336407040).

245253400 is an abundant number, since it is smaller than the sum of its proper divisors (427560680).

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

245253400 is a wasteful number, since it uses less digits than its factorization.

245253400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5705 (or 5696 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 245253400 is about 15660.5683166353. The cubic root of 245253400 is about 625.9481289551.

The spelling of 245253400 in words is "two hundred forty-five million, two hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 140 155 175 200 217 248 280 310 350 434 620 700 775 868 1085 1240 1400 1550 1736 2170 3100 4340 5425 5651 6200 8680 10850 11302 21700 22604 28255 39557 43400 45208 56510 79114 113020 141275 158228 175181 197785 226040 282550 316456 350362 395570 565100 700724 791140 875905 988925 1130200 1226267 1401448 1582280 1751810 1977850 2452534 3503620 3955700 4379525 4905068 6131335 7007240 7911400 8759050 9810136 12262670 17518100 24525340 30656675 35036200 49050680 61313350 122626700 245253400