Search a number
-
+
5421944700 = 22325247912577
BaseRepresentation
bin1010000110010110…
…00100111101111100
3111222212100022212200
411003023010331330
542101004212300
62254003031500
7251234524644
oct50313047574
914885308780
105421944700
112332601337
12107396b590
136853b4803
14396139524
1521b002200
hex1432c4f7c

5421944700 has 108 divisors (see below), whose sum is σ = 17031618240. Its totient is φ = 1442718720.

The previous prime is 5421944699. The next prime is 5421944701. The reversal of 5421944700 is 74491245.

It is a happy number.

5421944700 is a `hidden beast` number, since 542 + 1 + 9 + 44 + 70 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5421944699) and next prime (5421944701).

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 (5421944701) 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 35 ways as a sum of consecutive naturals, for example, 424812 + ... + 437388.

Almost surely, 25421944700 is an apocalyptic number.

5421944700 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 5421944700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8515809120).

5421944700 is an abundant number, since it is smaller than the sum of its proper divisors (11609673540).

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

5421944700 is a wasteful number, since it uses less digits than its factorization.

5421944700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13076 (or 13066 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5421944700 is about 73633.8556643613. The cubic root of 5421944700 is about 1756.7839750335.

The spelling of 5421944700 in words is "five billion, four hundred twenty-one million, nine hundred forty-four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 479 900 958 1437 1916 2395 2874 4311 4790 5748 7185 8622 9580 11975 12577 14370 17244 21555 23950 25154 28740 35925 37731 43110 47900 50308 62885 71850 75462 86220 107775 113193 125770 143700 150924 188655 215550 226386 251540 314425 377310 431100 452772 565965 628850 754620 943275 1131930 1257700 1886550 2263860 2829825 3773100 5659650 6024383 11319300 12048766 18073149 24097532 30121915 36146298 54219447 60243830 72292596 90365745 108438894 120487660 150609575 180731490 216877788 271097235 301219150 361462980 451828725 542194470 602438300 903657450 1084388940 1355486175 1807314900 2710972350 5421944700