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4379400660 = 2235376473049
BaseRepresentation
bin1000001010000100…
…00101100111010100
3102022012121121022110
410011002011213110
532432111310120
62002321431020
7213345201645
oct40502054724
912265547273
104379400660
11194806a598
12a2279b470
1354a3ccb4b
142d78b56cc
151a971a2e0
hex1050859d4

4379400660 has 96 divisors (see below), whose sum is σ = 12617337600. Its totient is φ = 1134148608.

The previous prime is 4379400631. The next prime is 4379400671. The reversal of 4379400660 is 660049734.

It is a congruent number.

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, 1434816 + ... + 1437864.

It is an arithmetic number, because the mean of its divisors is an integer number (131430600).

Almost surely, 24379400660 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 4379400660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308668800).

4379400660 is an abundant number, since it is smaller than the sum of its proper divisors (8237936940).

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

4379400660 is a wasteful number, since it uses less digits than its factorization.

4379400660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 4379400660 is about 66177.0402783322. The cubic root of 4379400660 is about 1636.0813465967.

The spelling of 4379400660 in words is "four billion, three hundred seventy-nine million, four hundred thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 647 740 1110 1294 1941 2220 2588 3049 3235 3882 6098 6470 7764 9147 9705 12196 12940 15245 18294 19410 23939 30490 36588 38820 45735 47878 60980 71817 91470 95756 112813 119695 143634 182940 225626 239390 287268 338439 359085 451252 478780 564065 676878 718170 1128130 1353756 1436340 1692195 1972703 2256260 3384390 3945406 5918109 6768780 7890812 9863515 11836218 19727030 23672436 29590545 39454060 59181090 72990011 118362180 145980022 218970033 291960044 364950055 437940066 729900110 875880132 1094850165 1459800220 2189700330 4379400660