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551146752 = 28321318401
BaseRepresentation
bin100000110110011…
…101010100000000
31102102002011012200
4200312131110000
52112043144002
6130404553200
716441445562
oct4066352400
91372064180
10551146752
11263120792
121346b2800
138a252450
14532ab332
15335bcb1c
hex20d9d500

551146752 has 108 divisors (see below), whose sum is σ = 1711422804. Its totient is φ = 169574400.

The previous prime is 551146747. The next prime is 551146759. The reversal of 551146752 is 257641155.

It can be written as a sum of positive squares in 2 ways, for example, as 158155776 + 392990976 = 12576^2 + 19824^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551146759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20752 + ... + 39152.

Almost surely, 2551146752 is an apocalyptic number.

551146752 is a gapful number since it is divisible by the number (52) 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 551146752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855711402).

551146752 is an abundant number, since it is smaller than the sum of its proper divisors (1160276052).

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

551146752 is a wasteful number, since it uses less digits than its factorization.

551146752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18436 (or 18419 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 551146752 is about 23476.5149031963. The cubic root of 551146752 is about 819.8903045806.

The spelling of 551146752 in words is "five hundred fifty-one million, one hundred forty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 18401 29952 36802 55203 73604 110406 147208 165609 220812 239213 294416 331218 441624 478426 588832 662436 717639 883248 956852 1177664 1324872 1435278 1766496 1913704 2152917 2355328 2649744 2870556 3532992 3827408 4305834 4710656 5299488 5741112 7065984 7654816 8611668 10598976 11482224 14131968 15309632 17223336 21197952 22964448 30619264 34446672 42395904 45928896 61238528 68893344 91857792 137786688 183715584 275573376 551146752