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2425248072 = 2332134163197
BaseRepresentation
bin1001000010001110…
…0101100101001000
320021000112100220200
42100203211211020
514431330414242
61040353252200
7114046161042
oct22043454510
96230470820
102425248072
111034a97855
12578264060
132c85b8a40
14190152a92
15e2db204c
hex908e5948

2425248072 has 96 divisors (see below), whose sum is σ = 7246282680. Its totient is φ = 728017920.

The previous prime is 2425248061. The next prime is 2425248073. The reversal of 2425248072 is 2708425242.

It can be written as a sum of positive squares in 4 ways, for example, as 1798947396 + 626300676 = 42414^2 + 25026^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2425248073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6778 + ... + 69974.

Almost surely, 22425248072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2425248072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623141340).

2425248072 is an abundant number, since it is smaller than the sum of its proper divisors (4821034608).

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

2425248072 is a wasteful number, since it uses less digits than its factorization.

2425248072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63263 (or 63256 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2425248072 is about 49246.8077341060. The cubic root of 2425248072 is about 1343.5445017872.

The spelling of 2425248072 in words is "two billion, four hundred twenty-five million, two hundred forty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 41 52 72 78 82 104 117 123 156 164 234 246 312 328 369 468 492 533 738 936 984 1066 1476 1599 2132 2952 3198 4264 4797 6396 9594 12792 19188 38376 63197 126394 189591 252788 379182 505576 568773 758364 821561 1137546 1516728 1643122 2275092 2464683 2591077 3286244 4550184 4929366 5182154 6572488 7394049 7773231 9858732 10364308 14788098 15546462 19717464 20728616 23319693 29576196 31092924 33684001 46639386 59152392 62185848 67368002 93278772 101052003 134736004 186557544 202104006 269472008 303156009 404208012 606312018 808416024 1212624036 2425248072