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424090944 = 26331912917
BaseRepresentation
bin11001010001110…
…001110101000000
31002120000001102000
4121101301311000
51332031402234
6110025424000
713336466514
oct3121616500
91076001360
10424090944
111a842a892
12ba03b000
1369b27ab4
1440476144
1527371899
hex19471d40

424090944 has 112 divisors (see below), whose sum is σ = 1312468800. Its totient is φ = 133913088.

The previous prime is 424090937. The next prime is 424090949. The reversal of 424090944 is 449090424.

It is a happy number.

It is a super-2 number, since 2×4240909442 = 359706257565622272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 424090899 and 424090908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424090949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26374 + ... + 39290.

Almost surely, 2424090944 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 424090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656234400).

424090944 is an abundant number, since it is smaller than the sum of its proper divisors (888377856).

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

424090944 is a wasteful number, since it uses less digits than its factorization.

424090944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12957 (or 12941 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 424090944 is about 20593.4684791076. The cubic root of 424090944 is about 751.3108595282.

The spelling of 424090944 in words is "four hundred twenty-four million, ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10944 12917 16416 25834 32832 38751 51668 77502 103336 116253 155004 206672 232506 245423 310008 348759 413344 465012 490846 620016 697518 736269 826688 930024 981692 1240032 1395036 1472538 1860048 1963384 2208807 2480064 2790072 2945076 3720096 3926768 4417614 5580144 5890152 6626421 7440192 7853536 8835228 11160288 11780304 13252842 15707072 17670456 22320576 23560608 26505684 35340912 47121216 53011368 70681824 106022736 141363648 212045472 424090944