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4077803464 = 237175380819
BaseRepresentation
bin1111001100001110…
…0101011111001000
3101112012002212201221
43303003211133020
531322404202324
61512345251424
7203023520560
oct36303453710
911465085657
104077803464
1118028a5109
12959793b74
134cca93077
142a9807da0
1518cee30e4
hexf30e57c8

4077803464 has 64 divisors (see below), whose sum is σ = 9426844800. Its totient is φ = 1613773824.

The previous prime is 4077803453. The next prime is 4077803489. The reversal of 4077803464 is 4643087704.

It is a super-3 number, since 3×40778034643 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4077803464.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10047 + ... + 90865.

It is an arithmetic number, because the mean of its divisors is an integer number (147294450).

Almost surely, 24077803464 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 4077803464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4713422400).

4077803464 is an abundant number, since it is smaller than the sum of its proper divisors (5349041336).

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

4077803464 is a wasteful number, since it uses less digits than its factorization.

4077803464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80902 (or 80898 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 43.

The square root of 4077803464 is about 63857.6813233929. The cubic root of 4077803464 is about 1597.6271420804.

The spelling of 4077803464 in words is "four billion, seventy-seven million, eight hundred three thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 17 28 34 53 56 68 106 119 136 212 238 371 424 476 742 901 952 1484 1802 2968 3604 6307 7208 12614 25228 50456 80819 161638 323276 565733 646552 1131466 1373923 2262932 2747846 4283407 4525864 5495692 8566814 9617461 10991384 17133628 19234922 29983849 34267256 38469844 59967698 72817919 76939688 119935396 145635838 239870792 291271676 509725433 582543352 1019450866 2038901732 4077803464