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421625088 = 283420333
BaseRepresentation
bin11001001000010…
…111110100000000
31002101100202220000
4121020113310000
51330414000323
6105500520000
713306516443
oct3110276400
91071322800
10421625088
111a6aa6195
12b9250000
1369473601
143ddd365a
1527035e43
hex19217d00

421625088 has 90 divisors (see below), whose sum is σ = 1257271554. Its totient is φ = 140534784.

The previous prime is 421625011. The next prime is 421625089. The reversal of 421625088 is 880526124.

421625088 is a `hidden beast` number, since 4 + 21 + 625 + 0 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 418120704 + 3504384 = 20448^2 + 1872^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421625089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10570 + ... + 30902.

Almost surely, 2421625088 is an apocalyptic number.

421625088 is a gapful number since it is divisible by the number (48) 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 421625088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628635777).

421625088 is an abundant number, since it is smaller than the sum of its proper divisors (835646466).

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

421625088 is an equidigital number, since it uses as much as digits as its factorization.

421625088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20361 (or 20338 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 421625088 is about 20533.5113412197. The cubic root of 421625088 is about 749.8518747471.

The spelling of 421625088 in words is "four hundred twenty-one million, six hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20333 20736 40666 60999 81332 121998 162664 182997 243996 325328 365994 487992 548991 650656 731988 975984 1097982 1301312 1463976 1646973 1951968 2195964 2602624 2927952 3293946 3903936 4391928 5205248 5855904 6587892 7807872 8783856 11711808 13175784 15615744 17567712 23423616 26351568 35135424 46847232 52703136 70270848 105406272 140541696 210812544 421625088