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4214938590 = 2325293794261
BaseRepresentation
bin1111101100111010…
…1101101111011110
3101212202011001202200
43323032231233132
532113011013330
61534124432330
7206310246462
oct37316555736
911782131680
104214938590
11187324a825
129976a86a6
13522309405
142bdb044a2
1519a080a60
hexfb3adbde

4214938590 has 96 divisors (see below), whose sum is σ = 11369311200. Its totient is φ = 1082108160.

The previous prime is 4214938573. The next prime is 4214938601. The reversal of 4214938590 is 958394124.

4214938590 is a `hidden beast` number, since 4 + 21 + 4 + 9 + 38 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987060 + ... + 991320.

It is an arithmetic number, because the mean of its divisors is an integer number (118430325).

Almost surely, 24214938590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214938590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5684655600).

4214938590 is an abundant number, since it is smaller than the sum of its proper divisors (7154372610).

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

4214938590 is a wasteful number, since it uses less digits than its factorization.

4214938590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 4214938590 is about 64922.5584061503. The cubic root of 4214938590 is about 1615.3392674188.

The spelling of 4214938590 in words is "four billion, two hundred fourteen million, nine hundred thirty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 379 435 522 758 870 1137 1305 1895 2274 2610 3411 3790 4261 5685 6822 8522 10991 11370 12783 17055 21305 21982 25566 32973 34110 38349 42610 54955 63915 65946 76698 98919 109910 123569 127830 164865 191745 197838 247138 329730 370707 383490 494595 617845 741414 989190 1112121 1235690 1614919 1853535 2224242 3229838 3707070 4844757 5560605 8074595 9689514 11121210 14534271 16149190 24223785 29068542 46832651 48447570 72671355 93665302 140497953 145342710 234163255 280995906 421493859 468326510 702489765 842987718 1404979530 2107469295 4214938590