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4122834408 = 2332711743657
BaseRepresentation
bin1111010110111101…
…0111010111101000
3101122022211200120200
43311233113113220
531420421200113
61521034352200
7204111341250
oct36557272750
911568750520
104122834408
111826261570
1297088b660
135091cb7b4
142b17aa960
15191e3a873
hexf5bd75e8

4122834408 has 96 divisors (see below), whose sum is σ = 13921277760. Its totient is φ = 1070864640.

The previous prime is 4122834379. The next prime is 4122834413. The reversal of 4122834408 is 8044382214.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366285 + ... + 377372.

It is an arithmetic number, because the mean of its divisors is an integer number (145013310).

Almost surely, 24122834408 is an apocalyptic number.

It is an amenable number.

4122834408 is an abundant number, since it is smaller than the sum of its proper divisors (9798443352).

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

4122834408 is a wasteful number, since it uses less digits than its factorization.

4122834408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743687 (or 743680 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4122834408 is about 64209.3015691652. The cubic root of 4122834408 is about 1603.4864608925.

The spelling of 4122834408 in words is "four billion, one hundred twenty-two million, eight hundred thirty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 743657 1487314 2230971 2974628 4461942 5205599 5949256 6692913 8180227 8923884 10411198 13385826 15616797 16360454 17847768 20822396 24540681 26771652 31233594 32720908 41644792 46850391 49081362 53543304 57261589 62467188 65441816 73622043 93700782 98162724 114523178 124934376 147244086 171784767 187401564 196325448 229046356 294488172 343569534 374803128 458092712 515354301 588976344 687139068 1030708602 1374278136 2061417204 4122834408