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4426434100 = 22521123591019
BaseRepresentation
bin1000001111101011…
…00000011000110100
3102102111010011001201
410013311200120310
533031131342400
62011121502244
7214456032454
oct40765403064
912374104051
104426434100
111971674500
12a364a1984
13557089b9a
142ddc39d64
151ad90b06a
hex107d60634

4426434100 has 108 divisors (see below), whose sum is σ = 10597759200. Its totient is φ = 1603553600.

The previous prime is 4426434071. The next prime is 4426434137. The reversal of 4426434100 is 14346244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4343391 + ... + 4344409.

It is an arithmetic number, because the mean of its divisors is an integer number (98127400).

Almost surely, 24426434100 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 4426434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298879600).

4426434100 is an abundant number, since it is smaller than the sum of its proper divisors (6171325100).

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

4426434100 is a wasteful number, since it uses less digits than its factorization.

4426434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 4426434100 is about 66531.4519607080. The cubic root of 4426434100 is about 1641.9175097757.

The spelling of 4426434100 in words is "four billion, four hundred twenty-six million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 359 484 550 605 718 1019 1100 1210 1436 1795 2038 2420 3025 3590 3949 4076 5095 6050 7180 7898 8975 10190 11209 12100 15796 17950 19745 20380 22418 25475 35900 39490 43439 44836 50950 56045 78980 86878 98725 101900 112090 123299 173756 197450 217195 224180 246598 280225 365821 394900 434390 493196 560450 616495 731642 868780 1085975 1120900 1232990 1463284 1829105 2171950 2465980 3082475 3658210 4024031 4343900 6164950 7316420 8048062 9145525 12329900 16096124 18291050 20120155 36582100 40240310 44264341 80480620 88528682 100600775 177057364 201201550 221321705 402403100 442643410 885286820 1106608525 2213217050 4426434100