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4403319640 = 23523411071091
BaseRepresentation
bin1000001100111010…
…10101001101011000
3102100212121210222121
410012131111031120
533004222212030
62004534231024
7214055412406
oct40635251530
912325553877
104403319640
11195a617245
12a2a7b5474
13552355ca5
142dab40476
151ab89247a
hex106755358

4403319640 has 128 divisors (see below), whose sum is σ = 10699153920. Its totient is φ = 1626803200.

The previous prime is 4403319619. The next prime is 4403319649. The reversal of 4403319640 is 469133044.

It is a junction number, because it is equal to n+sod(n) for n = 4403319596 and 4403319605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4403319649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4035495 + ... + 4036585.

It is an arithmetic number, because the mean of its divisors is an integer number (83587140).

Almost surely, 24403319640 is an apocalyptic number.

4403319640 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 4403319640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349576960).

4403319640 is an abundant number, since it is smaller than the sum of its proper divisors (6295834280).

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

4403319640 is a wasteful number, since it uses less digits than its factorization.

4403319640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 4403319640 is about 66357.5138172008. The cubic root of 4403319640 is about 1639.0545363437.

The spelling of 4403319640 in words is "four billion, four hundred three million, three hundred nineteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 41 46 82 92 107 115 164 184 205 214 230 328 410 428 460 535 820 856 920 943 1070 1091 1640 1886 2140 2182 2461 3772 4280 4364 4387 4715 4922 5455 7544 8728 8774 9430 9844 10910 12305 17548 18860 19688 21820 21935 24610 25093 35096 37720 43640 43870 44731 49220 50186 87740 89462 98440 100372 100901 116737 125465 175480 178924 200744 201802 223655 233474 250930 357848 403604 447310 466948 501860 504505 583685 807208 894620 933896 1003720 1009010 1028813 1167370 1789240 2018020 2057626 2334740 2684951 4036040 4115252 4669480 4786217 5144065 5369902 8230504 9572434 10288130 10739804 13424755 19144868 20576260 21479608 23931085 26849510 38289736 41152520 47862170 53699020 95724340 107398040 110082991 191448680 220165982 440331964 550414955 880663928 1100829910 2201659820 4403319640