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2452085244 = 2233723114947
BaseRepresentation
bin1001001000100111…
…1101100111111100
320022220000211121000
42102021331213330
520010213211434
61043152410300
7114523244400
oct22211754774
96286024530
102452085244
111049157a34
12585246990
1330102421b
1419393b100
15e5413b99
hex9227d9fc

2452085244 has 144 divisors (see below), whose sum is σ = 7634242560. Its totient is φ = 677950560.

The previous prime is 2452085221. The next prime is 2452085249. The reversal of 2452085244 is 4425802542.

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

It is a junction number, because it is equal to n+sod(n) for n = 2452085199 and 2452085208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452085249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156579 + ... + 171525.

Almost surely, 22452085244 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 2452085244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817121280).

2452085244 is an abundant number, since it is smaller than the sum of its proper divisors (5182157316).

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

2452085244 is a wasteful number, since it uses less digits than its factorization.

2452085244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15005 (or 14990 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 2452085244 is about 49518.5343482620. The cubic root of 2452085244 is about 1348.4821063177.

Adding to 2452085244 its reverse (4425802542), we get a palindrome (6877887786).

The spelling of 2452085244 in words is "two billion, four hundred fifty-two million, eighty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 49 54 62 63 84 93 98 108 124 126 147 186 189 196 217 252 279 294 372 378 434 441 558 588 651 756 837 868 882 1116 1302 1323 1519 1674 1764 1953 2604 2646 3038 3348 3906 4557 5292 5859 6076 7812 9114 11718 13671 14947 18228 23436 27342 29894 41013 44841 54684 59788 82026 89682 104629 134523 164052 179364 209258 269046 313887 403569 418516 463357 538092 627774 732403 807138 926714 941661 1255548 1390071 1464806 1614276 1853428 1883322 2197209 2780142 2824983 2929612 3243499 3766644 4170213 4394418 5560284 5649966 6486998 6591627 8340426 8788836 9730497 11299932 12510639 12973996 13183254 16680852 19460994 19774881 22704493 25021278 26366508 29191491 38921988 39549762 45408986 50042556 58382982 68113479 79099524 87574473 90817972 116765964 136226958 175148946 204340437 272453916 350297892 408680874 613021311 817361748 1226042622 2452085244