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5452890100 = 2252724132323
BaseRepresentation
bin1010001010000010…
…00111111111110100
3112002000120111222121
411011001013333310
542131414440400
62301030205324
7252061541530
oct50501077764
915060514877
105452890100
112349018049
1210821b3844
1368b92abb8
1439a2b2bc0
1521dab621a
hex145047ff4

5452890100 has 72 divisors (see below), whose sum is σ = 13579700288. Its totient is φ = 1861747200.

The previous prime is 5452890083. The next prime is 5452890103. The reversal of 5452890100 is 10982545.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5452890103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152539 + ... + 184861.

Almost surely, 25452890100 is an apocalyptic number.

5452890100 is a gapful number since it is divisible by the number (50) 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 5452890100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789850144).

5452890100 is an abundant number, since it is smaller than the sum of its proper divisors (8126810188).

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

5452890100 is a wasteful number, since it uses less digits than its factorization.

5452890100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32585 (or 32578 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 5452890100 is about 73843.6869339553. The cubic root of 5452890100 is about 1760.1198803501.

The spelling of 5452890100 in words is "five billion, four hundred fifty-two million, eight hundred ninety thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 241 350 482 700 964 1205 1687 2410 3374 4820 6025 6748 8435 12050 16870 24100 32323 33740 42175 64646 84350 129292 161615 168700 226261 323230 452522 646460 808075 905044 1131305 1616150 2262610 3232300 4525220 5656525 7789843 11313050 15579686 22626100 31159372 38949215 54528901 77898430 109057802 155796860 194746075 218115604 272644505 389492150 545289010 778984300 1090578020 1363222525 2726445050 5452890100