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4223525904 = 2432135342569
BaseRepresentation
bin1111101110111101…
…1110010000010000
3101220100022100100100
43323233132100100
532122210312104
61535032452400
7206443243413
oct37357362020
911810270310
104223525904
111878085584
1299a54a100
13524024c70
142c0cdbb7a
1519abca139
hexfbbde410

4223525904 has 120 divisors (see below), whose sum is σ = 12969716760. Its totient is φ = 1274996736.

The previous prime is 4223525899. The next prime is 4223525953. The reversal of 4223525904 is 4095253224.

4223525904 is a `hidden beast` number, since 42 + 2 + 3 + 525 + 90 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 322274304 + 3901251600 = 17952^2 + 62460^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77932 + ... + 120500.

It is an arithmetic number, because the mean of its divisors is an integer number (108080973).

Almost surely, 24223525904 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 4223525904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484858380).

4223525904 is an abundant number, since it is smaller than the sum of its proper divisors (8746190856).

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

4223525904 is a wasteful number, since it uses less digits than its factorization.

4223525904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42649 (or 42640 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4223525904 is about 64988.6598107701. The cubic root of 4223525904 is about 1616.4355282169.

The spelling of 4223525904 in words is "four billion, two hundred twenty-three million, five hundred twenty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 53 72 78 104 106 117 144 156 159 208 212 234 312 318 424 468 477 624 636 689 848 936 954 1272 1378 1872 1908 2067 2544 2756 3816 4134 5512 6201 7632 8268 11024 12402 16536 24804 33072 42569 49608 85138 99216 127707 170276 255414 340552 383121 510828 553397 681104 766242 1021656 1106794 1532484 1660191 2043312 2213588 2256157 3064968 3320382 4427176 4512314 4980573 6129936 6640764 6768471 8854352 9024628 9961146 13281528 13536942 18049256 19922292 20305413 26563056 27073884 29330041 36098512 39844584 40610826 54147768 58660082 79689168 81221652 87990123 108295536 117320164 162443304 175980246 234640328 263970369 324886608 351960492 469280656 527940738 703920984 1055881476 1407841968 2111762952 4223525904