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2452013532 = 223423378893
BaseRepresentation
bin1001001000100110…
…1100000111011100
320022212220012020000
42102021230013130
520010203413112
61043151054300
7114522525333
oct22211540734
96285805200
102452013532
111049109071
12585211390
13300cca6a7
1419391cd1a
15e53ec7dc
hex9226c1dc

2452013532 has 120 divisors (see below), whose sum is σ = 6870294816. Its totient is φ = 760586112.

The previous prime is 2452013503. The next prime is 2452013537. The reversal of 2452013532 is 2353102542.

It is a happy number.

2452013532 is a `hidden beast` number, since 2 + 4 + 520 + 135 + 3 + 2 = 666.

It is a super-2 number, since 2×24520135322 = 12024740722222230048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2452013496 and 2452013505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2452013537) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 271278 + ... + 280170.

Almost surely, 22452013532 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 2452013532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435147408).

2452013532 is an abundant number, since it is smaller than the sum of its proper divisors (4418281284).

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

2452013532 is a wasteful number, since it uses less digits than its factorization.

2452013532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8969 (or 8958 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2452013532 is about 49517.8102504543. The cubic root of 2452013532 is about 1348.4689605959.

The spelling of 2452013532 in words is "two billion, four hundred fifty-two million, thirteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 37 46 54 69 74 81 92 108 111 138 148 162 207 222 276 324 333 414 444 621 666 828 851 999 1242 1332 1702 1863 1998 2484 2553 2997 3404 3726 3996 5106 5994 7452 7659 8893 10212 11988 15318 17786 22977 26679 30636 35572 45954 53358 68931 80037 91908 106716 137862 160074 204539 240111 275724 320148 329041 409078 480222 613617 658082 720333 818156 960444 987123 1227234 1316164 1440666 1840851 1974246 2454468 2881332 2961369 3681702 3948492 5522553 5922738 7363404 7567943 8884107 11045106 11845476 15135886 16567659 17768214 22090212 22703829 26652321 30271772 33135318 35536428 45407658 53304642 66270636 68111487 90815316 106609284 136222974 204334461 272445948 408668922 613003383 817337844 1226006766 2452013532