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2425391232 = 27311619413
BaseRepresentation
bin1001000010010000…
…1000100010000000
320021000210122021220
42100210020202000
514431400004412
61040400315040
7114050325315
oct22044104200
96230718256
102425391232
111035085370
12578312a80
132c8638c54
1419018cd0c
15e2dde68c
hex90908880

2425391232 has 128 divisors (see below), whose sum is σ = 7144096320. Its totient is φ = 722841600.

The previous prime is 2425391219. The next prime is 2425391233. The reversal of 2425391232 is 2321935242.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2425391193 and 2425391202.

It is not an unprimeable number, because it can be changed into a prime (2425391233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252958 + ... + 262370.

Almost surely, 22425391232 is an apocalyptic number.

2425391232 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 2425391232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572048160).

2425391232 is an abundant number, since it is smaller than the sum of its proper divisors (4718705088).

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

2425391232 is a wasteful number, since it uses less digits than its factorization.

2425391232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9502 (or 9490 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 2425391232 is about 49248.2612078843. The cubic root of 2425391232 is about 1343.5709373023.

The spelling of 2425391232 in words is "two billion, four hundred twenty-five million, three hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 128 132 176 183 192 244 264 352 366 384 488 528 671 704 732 976 1056 1342 1408 1464 1952 2013 2112 2684 2928 3904 4026 4224 5368 5856 7808 8052 9413 10736 11712 16104 18826 21472 23424 28239 32208 37652 42944 56478 64416 75304 85888 103543 112956 128832 150608 207086 225912 257664 301216 310629 414172 451824 574193 602432 621258 828344 903648 1148386 1204864 1242516 1656688 1722579 1807296 2296772 2485032 3313376 3445158 3614592 4593544 4970064 6316123 6626752 6890316 9187088 9940128 12632246 13253504 13780632 18374176 18948369 19880256 25264492 27561264 36748352 37896738 39760512 50528984 55122528 73496704 75793476 101057968 110245056 151586952 202115936 220490112 303173904 404231872 606347808 808463744 1212695616 2425391232