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2425104352 = 251129353673
BaseRepresentation
bin1001000010001100…
…0010011111100000
320021000021001202201
42100203002133200
514431311314402
61040350222544
7114045022036
oct22043023740
96230231681
102425104352
1110349a9880
125781b4a54
132c85684b8
14190116556
15e2d84687
hex908c27e0

2425104352 has 96 divisors (see below), whose sum is σ = 5411357280. Its totient is φ = 1059717120.

The previous prime is 2425104347. The next prime is 2425104371. The reversal of 2425104352 is 2534015242.

It is a super-2 number, since 2×24251043522 = 11762262236178679808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2425104352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3603088 + ... + 3603760.

It is an arithmetic number, because the mean of its divisors is an integer number (56368305).

Almost surely, 22425104352 is an apocalyptic number.

2425104352 is a gapful number since it is divisible by the number (22) 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 2425104352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705678640).

2425104352 is an abundant number, since it is smaller than the sum of its proper divisors (2986252928).

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

2425104352 is a wasteful number, since it uses less digits than its factorization.

2425104352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2425104352 is about 49245.3485316126. The cubic root of 2425104352 is about 1343.5179618176.

Adding to 2425104352 its reverse (2534015242), we get a palindrome (4959119594).

The spelling of 2425104352 in words is "two billion, four hundred twenty-five million, one hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 353 464 638 673 706 928 1276 1346 1412 2552 2692 2824 3883 5104 5384 5648 7403 7766 10208 10237 10768 11296 14806 15532 19517 20474 21536 29612 31064 39034 40948 59224 62128 78068 81896 112607 118448 124256 156136 163792 214687 225214 236896 237569 312272 327584 429374 450428 475138 624544 858748 900856 950276 1717496 1801712 1900552 2613259 3434992 3603424 3801104 5226518 6869984 6889501 7602208 10453036 13779002 20906072 27558004 41812144 55116008 75784511 83624288 110232016 151569022 220464032 303138044 606276088 1212552176 2425104352