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5452512416 = 251319766533
BaseRepresentation
bin1010001001111111…
…01011110010100000
3112001222212022220022
411010333223302200
542131320344131
62301014133012
7252055406441
oct50477536240
915058768808
105452512416
11234888a30a
121082051168
1368b828010
1439a2152c8
1521da3e37b
hex144febca0

5452512416 has 48 divisors (see below), whose sum is σ = 11619231624. Its totient is φ = 2503732224.

The previous prime is 5452512413. The next prime is 5452512427. The reversal of 5452512416 is 6142152545.

It can be written as a sum of positive squares in 4 ways, for example, as 5443488400 + 9024016 = 73780^2 + 3004^2 .

It is not an unprimeable number, because it can be changed into a prime (5452512413) 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 7 ways as a sum of consecutive naturals, for example, 48686 + ... + 115218.

Almost surely, 25452512416 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 5452512416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809615812).

5452512416 is an abundant number, since it is smaller than the sum of its proper divisors (6166719208).

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

5452512416 is a wasteful number, since it uses less digits than its factorization.

5452512416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66753 (or 66745 counting only the distinct ones).

The product of its digits is 48000, while the sum is 35.

The square root of 5452512416 is about 73841.1295688250. The cubic root of 5452512416 is about 1760.0792422999.

The spelling of 5452512416 in words is "five billion, four hundred fifty-two million, five hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 197 208 394 416 788 1576 2561 3152 5122 6304 10244 20488 40976 66533 81952 133066 266132 532264 864929 1064528 1729858 2129056 3459716 6919432 13107001 13838864 26214002 27677728 52428004 104856008 170391013 209712016 340782026 419424032 681564052 1363128104 2726256208 5452512416