Search a number
-
+
452155008 = 27319292137
BaseRepresentation
bin11010111100110…
…101011010000000
31011111210212001210
4122330311122000
51411222430013
6112511130120
714130153114
oct3274653200
91144725053
10452155008
11212258828
12107513940
13728a2856
144409d744
1529a66cc3
hex1af35680

452155008 has 128 divisors (see below), whose sum is σ = 1308456000. Its totient is φ = 137797632.

The previous prime is 452155007. The next prime is 452155009. The reversal of 452155008 is 800551254.

It is an interprime number because it is at equal distance from previous prime (452155007) and next prime (452155009).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (452155003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210516 + ... + 212652.

Almost surely, 2452155008 is an apocalyptic number.

452155008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452155008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654228000).

452155008 is an abundant number, since it is smaller than the sum of its proper divisors (856300992).

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

452155008 is a wasteful number, since it uses less digits than its factorization.

452155008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 452155008 is about 21263.9367944885. The cubic root of 452155008 is about 767.5307463270.

The spelling of 452155008 in words is "four hundred fifty-two million, one hundred fifty-five thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 64 76 87 96 114 116 128 152 174 192 228 232 304 348 384 456 464 551 608 696 912 928 1102 1216 1392 1653 1824 1856 2137 2204 2432 2784 3306 3648 3712 4274 4408 5568 6411 6612 7296 8548 8816 11136 12822 13224 17096 17632 25644 26448 34192 35264 40603 51288 52896 61973 68384 70528 81206 102576 105792 121809 123946 136768 162412 185919 205152 211584 243618 247892 273536 324824 371838 410304 487236 495784 649648 743676 820608 974472 991568 1177487 1299296 1487352 1948944 1983136 2354974 2598592 2974704 3532461 3897888 3966272 4709948 5197184 5949408 7064922 7795776 7932544 9419896 11898816 14129844 15591552 18839792 23797632 28259688 37679584 56519376 75359168 113038752 150718336 226077504 452155008