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4398399864 = 233237244623
BaseRepresentation
bin1000001100010101…
…00100000101111000
3102100112100212022200
410012022210011320
533001442243424
62004240550200
7213665532135
oct40612440570
912315325280
104398399864
111957866a11
12a29022360
13551322891
142da21d58c
151ab21e8c9
hex1062a4178

4398399864 has 72 divisors (see below), whose sum is σ = 12243263760. Its totient is φ = 1426476096.

The previous prime is 4398399857. The next prime is 4398399883. The reversal of 4398399864 is 4689938934.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 76257 + ... + 120879.

It is an arithmetic number, because the mean of its divisors is an integer number (170045330).

Almost surely, 24398399864 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 4398399864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121631880).

4398399864 is an abundant number, since it is smaller than the sum of its proper divisors (7844863896).

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

4398399864 is a wasteful number, since it uses less digits than its factorization.

4398399864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44709 (or 44665 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The square root of 4398399864 is about 66320.4332313956. The cubic root of 4398399864 is about 1638.4438768955.

The spelling of 4398399864 in words is "four billion, three hundred ninety-eight million, three hundred ninety-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 1369 2664 2738 4107 5476 8214 10952 12321 16428 24642 32856 44623 49284 89246 98568 133869 178492 267738 356984 401607 535476 803214 1070952 1606428 1651051 3212856 3302102 4953153 6604204 9906306 13208408 14859459 19812612 29718918 39625224 59437836 61088887 118875672 122177774 183266661 244355548 366533322 488711096 549799983 733066644 1099599966 1466133288 2199199932 4398399864