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2425243240 = 23573473761
BaseRepresentation
bin1001000010001110…
…0100011001101000
320021000112010021201
42100203210121220
514431330240430
61040353213544
7114046141000
oct22043443150
96230463251
102425243240
111034a94162
125782612b4
132c85b6794
14190151000
15e2db08ca
hex908e4668

2425243240 has 128 divisors (see below), whose sum is σ = 6500736000. Its totient is φ = 813603840.

The previous prime is 2425243237. The next prime is 2425243241. The reversal of 2425243240 is 423425242.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2425243199 and 2425243208.

It is not an unprimeable number, because it can be changed into a prime (2425243241) 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, 642960 + ... + 646720.

It is an arithmetic number, because the mean of its divisors is an integer number (50787000).

Almost surely, 22425243240 is an apocalyptic number.

2425243240 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 2425243240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250368000).

2425243240 is an abundant number, since it is smaller than the sum of its proper divisors (4075492760).

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

2425243240 is a wasteful number, since it uses less digits than its factorization.

2425243240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 2425243240 is about 49246.7586750641. The cubic root of 2425243240 is about 1343.5436095058.

Adding to 2425243240 its reverse (423425242), we get a palindrome (2848668482).

The spelling of 2425243240 in words is "two billion, four hundred twenty-five million, two hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 49 56 70 94 98 140 188 196 235 245 280 329 343 376 392 470 490 658 686 940 980 1316 1372 1645 1715 1880 1960 2303 2632 2744 3290 3430 3761 4606 6580 6860 7522 9212 11515 13160 13720 15044 16121 18424 18805 23030 26327 30088 32242 37610 46060 52654 64484 75220 80605 92120 105308 128968 131635 150440 161210 176767 184289 210616 263270 322420 353534 368578 526540 644840 707068 737156 883835 921445 1053080 1237369 1290023 1414136 1474312 1767670 1842890 2474738 2580046 3535340 3685780 4949476 5160092 6186845 6450115 7070680 7371560 8661583 9898952 10320184 12373690 12900230 17323166 24747380 25800460 34646332 43307915 49494760 51600920 60631081 69292664 86615830 121262162 173231660 242524324 303155405 346463320 485048648 606310810 1212621620 2425243240