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5351133400 = 2352191797867
BaseRepresentation
bin1001111101111001…
…11101000011011000
3111210221002202000221
410332330331003120
541424342232100
62242553205424
7246414612004
oct47674750330
914727082027
105351133400
1122a66367a8
121054100874
13673820932
1438a985704
15214bb601a
hex13ef3d0d8

5351133400 has 96 divisors (see below), whose sum is σ = 13171032000. Its totient is φ = 2016213120.

The previous prime is 5351133397. The next prime is 5351133407. The reversal of 5351133400 is 43311535.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5351133407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676267 + ... + 684133.

It is an arithmetic number, because the mean of its divisors is an integer number (137198250).

Almost surely, 25351133400 is an apocalyptic number.

5351133400 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 5351133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6585516000).

5351133400 is an abundant number, since it is smaller than the sum of its proper divisors (7819898600).

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

5351133400 is a wasteful number, since it uses less digits than its factorization.

5351133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8081 (or 8072 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 5351133400 is about 73151.4415442375. The cubic root of 5351133400 is about 1749.1024948862.

Adding to 5351133400 its reverse (43311535), we get a palindrome (5394444935).

The spelling of 5351133400 in words is "five billion, three hundred fifty-one million, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 179 190 200 358 380 475 716 760 895 950 1432 1790 1900 3401 3580 3800 4475 6802 7160 7867 8950 13604 15734 17005 17900 27208 31468 34010 35800 39335 62936 68020 78670 85025 136040 149473 157340 170050 196675 298946 314680 340100 393350 597892 680200 747365 786700 1195784 1408193 1494730 1573400 2816386 2989460 3736825 5632772 5978920 7040965 7473650 11265544 14081930 14947300 26755667 28163860 29894600 35204825 53511334 56327720 70409650 107022668 133778335 140819300 214045336 267556670 281638600 535113340 668891675 1070226680 1337783350 2675566700 5351133400