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10452992 = 2151129
BaseRepresentation
bin100111111000…
…000000000000
3201200001210212
4213320000000
510133443432
61012013252
7154564124
oct47700000
921601725
1010452992
11599a540
123601228
13221cb04
141561584
15db72b2
hex9f8000

10452992 has 64 divisors (see below), whose sum is σ = 23592600. Its totient is φ = 4587520.

The previous prime is 10452973. The next prime is 10452997. The reversal of 10452992 is 29925401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10452997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 360434 + ... + 360462.

Almost surely, 210452992 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 10452992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796300).

10452992 is an abundant number, since it is smaller than the sum of its proper divisors (13139608).

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

10452992 is an frugal number, since it uses more digits than its factorization.

10452992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 10452992 is about 3233.1087207207. The cubic root of 10452992 is about 218.6486864719.

The spelling of 10452992 in words is "ten million, four hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 256 319 352 464 512 638 704 928 1024 1276 1408 1856 2048 2552 2816 3712 4096 5104 5632 7424 8192 10208 11264 14848 16384 20416 22528 29696 32768 40832 45056 59392 81664 90112 118784 163328 180224 237568 326656 360448 475136 653312 950272 1306624 2613248 5226496 10452992