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4378039040 = 2854183423
BaseRepresentation
bin1000001001111001…
…11001001100000000
3102022010001102112002
410010330321030000
532431234222130
62002232323132
7213330501134
oct40474711400
912263042462
104378039040
11194731a591
12a222434a8
1354a04415b
142d763d3c4
151a954bb45
hex104f39300

4378039040 has 72 divisors (see below), whose sum is σ = 10742675328. Its totient is φ = 1708482560.

The previous prime is 4378039037. The next prime is 4378039067. The reversal of 4378039040 is 409308734.

It is a junction number, because it is equal to n+sod(n) for n = 4378038985 and 4378039003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10769 + ... + 94191.

It is an arithmetic number, because the mean of its divisors is an integer number (149203824).

Almost surely, 24378039040 is an apocalyptic number.

4378039040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4378039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371337664).

4378039040 is an abundant number, since it is smaller than the sum of its proper divisors (6364636288).

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

4378039040 is an equidigital number, since it uses as much as digits as its factorization.

4378039040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83485 (or 83471 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 4378039040 is about 66166.7517715658. The cubic root of 4378039040 is about 1635.9117684456.

The spelling of 4378039040 in words is "four billion, three hundred seventy-eight million, thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 640 656 820 1280 1312 1640 2624 3280 5248 6560 10496 13120 26240 52480 83423 166846 333692 417115 667384 834230 1334768 1668460 2669536 3336920 3420343 5339072 6673840 6840686 10678144 13347680 13681372 17101715 21356288 26695360 27362744 34203430 53390720 54725488 68406860 106781440 109450976 136813720 218901952 273627440 437803904 547254880 875607808 1094509760 2189019520 4378039040