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5244414400 = 265213923581
BaseRepresentation
bin1001110001001011…
…10110100111000000
3111112111021212002101
410320211312213000
541220032230100
62224222000144
7243650533621
oct47045664700
914474255071
105244414400
112251376185
121024416054
13657696ab4
1437a725a48
1520a63586a
hex1389769c0

5244414400 has 84 divisors (see below), whose sum is σ = 12997926760. Its totient is φ = 2082585600.

The previous prime is 5244414379. The next prime is 5244414407. The reversal of 5244414400 is 44144425.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5244414407) 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, 210610 + ... + 234190.

Almost surely, 25244414400 is an apocalyptic number.

5244414400 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 5244414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6498963380).

5244414400 is an abundant number, since it is smaller than the sum of its proper divisors (7753512360).

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

5244414400 is a wasteful number, since it uses less digits than its factorization.

5244414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23742 (or 23727 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 5244414400 is about 72418.3291715571. The cubic root of 5244414400 is about 1737.3967324716.

Adding to 5244414400 its reverse (44144425), we get a palindrome (5288558825).

The spelling of 5244414400 in words is "five billion, two hundred forty-four million, four hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 139 160 200 278 320 400 556 695 800 1112 1390 1600 2224 2780 3475 4448 5560 6950 8896 11120 13900 22240 23581 27800 44480 47162 55600 94324 111200 117905 188648 222400 235810 377296 471620 589525 754592 943240 1179050 1509184 1886480 2358100 3277759 3772960 4716200 6555518 7545920 9432400 13111036 16388795 18864800 26222072 32777590 37729600 52444144 65555180 81943975 104888288 131110360 163887950 209776576 262220720 327775900 524441440 655551800 1048882880 1311103600 2622207200 5244414400