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450055770 = 23541367997
BaseRepresentation
bin11010110100110…
…100111001011010
31011100212012110020
4122310310321122
51410203241040
6112354131310
714103260643
oct3264647132
91140765406
10450055770
1121105461a
12106880b36
13723191b8
1443ab46ca
152979ecd0
hex1ad34e5a

450055770 has 64 divisors (see below), whose sum is σ = 1110606336. Its totient is φ = 116651520.

The previous prime is 450055757. The next prime is 450055787. The reversal of 450055770 is 77550054.

It is a super-2 number, since 2×4500557702 = 405100392220585800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450912 + ... + 451908.

It is an arithmetic number, because the mean of its divisors is an integer number (17353224).

Almost surely, 2450055770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450055770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555303168).

450055770 is an abundant number, since it is smaller than the sum of its proper divisors (660550566).

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

450055770 is a wasteful number, since it uses less digits than its factorization.

450055770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415.

The product of its (nonzero) digits is 24500, while the sum is 33.

The square root of 450055770 is about 21214.5179063772. The cubic root of 450055770 is about 766.3410881800.

The spelling of 450055770 in words is "four hundred fifty million, fifty-five thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 367 410 615 734 997 1101 1230 1835 1994 2202 2991 3670 4985 5505 5982 9970 11010 14955 15047 29910 30094 40877 45141 75235 81754 90282 122631 150470 204385 225705 245262 365899 408770 451410 613155 731798 1097697 1226310 1829495 2195394 3658990 5488485 10976970 15001859 30003718 45005577 75009295 90011154 150018590 225027885 450055770