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425537200 = 245211175689
BaseRepresentation
bin11001010111010…
…010111010110000
31002122201112022001
4121113102322300
51332414142300
6110120423344
713355002144
oct3127227260
91078645261
10425537200
111a9228440
12ba617b54
136a21317a
1440731224
152755a16a
hex195d2eb0

425537200 has 120 divisors (see below), whose sum is σ = 1181107440. Its totient is φ = 145612800.

The previous prime is 425537173. The next prime is 425537239. The reversal of 425537200 is 2735524.

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, 71956 + ... + 77644.

It is an arithmetic number, because the mean of its divisors is an integer number (9842562).

Almost surely, 2425537200 is an apocalyptic number.

425537200 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 425537200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590553720).

425537200 is an abundant number, since it is smaller than the sum of its proper divisors (755570240).

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

425537200 is a wasteful number, since it uses less digits than its factorization.

425537200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 425537200 is about 20628.5530272969. The cubic root of 425537200 is about 752.1639430551.

The spelling of 425537200 in words is "four hundred twenty-five million, five hundred thirty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 25 34 40 44 50 55 68 80 85 88 100 110 136 170 176 187 200 220 272 275 340 374 400 425 440 550 680 748 850 880 935 1100 1360 1496 1700 1870 2200 2992 3400 3740 4400 4675 5689 6800 7480 9350 11378 14960 18700 22756 28445 37400 45512 56890 62579 74800 91024 96713 113780 125158 142225 193426 227560 250316 284450 312895 386852 455120 483565 500632 568900 625790 773704 967130 1001264 1063843 1137800 1251580 1547408 1564475 1934260 2127686 2275600 2417825 2503160 3128950 3868520 4255372 4835650 5006320 5319215 6257900 7737040 8510744 9671300 10638430 12515800 17021488 19342600 21276860 25031600 26596075 38685200 42553720 53192150 85107440 106384300 212768600 425537200