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2425345032 = 23311231073733
BaseRepresentation
bin1001000010001111…
…1101010000001000
320021000201021220210
42100203331100020
514431342020112
61040355321120
7114050043525
oct22043752010
96230637823
102425345032
111035053690
125782b01a0
132c8620c06
1419017a14c
15e2dd0b3c
hex908fd408

2425345032 has 128 divisors (see below), whose sum is σ = 6968540160. Its totient is φ = 696241920.

The previous prime is 2425344989. The next prime is 2425345093. The reversal of 2425345032 is 2305435242.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647838 + ... + 651570.

It is an arithmetic number, because the mean of its divisors is an integer number (54441720).

Almost surely, 22425345032 is an apocalyptic number.

2425345032 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 2425345032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484270080).

2425345032 is an abundant number, since it is smaller than the sum of its proper divisors (4543195128).

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

2425345032 is a wasteful number, since it uses less digits than its factorization.

2425345032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3883 (or 3879 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 2425345032 is about 49247.7921535575. The cubic root of 2425345032 is about 1343.5624062565.

The spelling of 2425345032 in words is "two billion, four hundred twenty-five million, three hundred forty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 107 132 138 184 214 253 264 276 321 428 506 552 642 759 856 1012 1177 1284 1518 2024 2354 2461 2568 3036 3531 3733 4708 4922 6072 7062 7383 7466 9416 9844 11199 14124 14766 14932 19688 22398 27071 28248 29532 29864 41063 44796 54142 59064 81213 82126 85859 89592 108284 123189 162426 164252 171718 216568 246378 257577 324852 328504 343436 399431 492756 515154 649704 686872 798862 944449 985512 1030308 1198293 1597724 1888898 2060616 2396586 2833347 3195448 3777796 4393741 4793172 5666694 7555592 8787482 9186913 9586344 11333388 13181223 17574964 18373826 22666776 26362446 27560739 35149928 36747652 52724892 55121478 73495304 101056043 105449784 110242956 202112086 220485912 303168129 404224172 606336258 808448344 1212672516 2425345032