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5228410752 = 273222919819
BaseRepresentation
bin1001101111010001…
…10011011110000000
3111111101011210012200
410313220303132000
541201433121002
62222450553200
7243364521015
oct46750633600
914441153180
105228410752
112243335424
12101ab98800
13654282696
1437855b70c
15209023b1c
hex137a33780

5228410752 has 96 divisors (see below), whose sum is σ = 15111759000. Its totient is φ = 1735105536.

The previous prime is 5228410717. The next prime is 5228410757. The reversal of 5228410752 is 2570148225.

It is a happy number.

5228410752 is a `hidden beast` number, since 522 + 84 + 1 + 0 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (5228410757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 253899 + ... + 273717.

Almost surely, 25228410752 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 5228410752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7555879500).

5228410752 is an abundant number, since it is smaller than the sum of its proper divisors (9883348248).

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

5228410752 is a wasteful number, since it uses less digits than its factorization.

5228410752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20068 (or 20053 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5228410752 is about 72307.7502899931. The cubic root of 5228410752 is about 1735.6276746877.

Adding to 5228410752 its reverse (2570148225), we get a palindrome (7798558977).

It can be divided in two parts, 52284 and 10752, that added together give a palindrome (63036).

The spelling of 5228410752 in words is "five billion, two hundred twenty-eight million, four hundred ten thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 229 288 384 458 576 687 916 1152 1374 1832 2061 2748 3664 4122 5496 7328 8244 10992 14656 16488 19819 21984 29312 32976 39638 43968 59457 65952 79276 87936 118914 131904 158552 178371 237828 263808 317104 356742 475656 634208 713484 951312 1268416 1426968 1902624 2536832 2853936 3805248 4538551 5707872 7610496 9077102 11415744 13615653 18154204 22831488 27231306 36308408 40846959 54462612 72616816 81693918 108925224 145233632 163387836 217850448 290467264 326775672 435700896 580934528 653551344 871401792 1307102688 1742803584 2614205376 5228410752