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452453148 = 223372326021
BaseRepresentation
bin11010111101111…
…110001100011100
31011112101000001000
4122331332030130
51411312000043
6112521350300
714132534250
oct3275761434
91145330030
10452453148
11212441824
12107638390
1372978474
144413a260
1529ac52d3
hex1af7e31c

452453148 has 96 divisors (see below), whose sum is σ = 1398942720. Its totient is φ = 123647040.

The previous prime is 452453129. The next prime is 452453173. The reversal of 452453148 is 841354254.

It is a happy number.

It is a super-3 number, since 3×4524531483 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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, 4378 + ... + 30398.

It is an arithmetic number, because the mean of its divisors is an integer number (14572320).

Almost surely, 2452453148 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 452453148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699471360).

452453148 is an abundant number, since it is smaller than the sum of its proper divisors (946489572).

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

452453148 is a wasteful number, since it uses less digits than its factorization.

452453148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26064 (or 26056 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 452453148 is about 21270.9461002561. The cubic root of 452453148 is about 767.6994062893.

The spelling of 452453148 in words is "four hundred fifty-two million, four hundred fifty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 84 92 108 126 138 161 189 207 252 276 322 378 414 483 621 644 756 828 966 1242 1449 1932 2484 2898 4347 5796 8694 17388 26021 52042 78063 104084 156126 182147 234189 312252 364294 468378 546441 598483 702567 728588 936756 1092882 1196966 1405134 1639323 1795449 2185764 2393932 2810268 3278646 3590898 4189381 4917969 5386347 6557292 7181796 8378762 9835938 10772694 12568143 16159041 16757524 19671876 21545388 25136286 32318082 37704429 50272572 64636164 75408858 113113287 150817716 226226574 452453148