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444271240 = 23572226669
BaseRepresentation
bin11010011110110…
…000101010001000
31010221222022120101
4122132300222020
51402213134430
6112030135144
714003146300
oct3236605210
91127868511
10444271240
11208863616
121049514b4
13710722ba
144300a600
152900adca
hex1a7b0a88

444271240 has 48 divisors (see below), whose sum is σ = 1162817100. Its totient is φ = 152320896.

The previous prime is 444271237. The next prime is 444271259. The reversal of 444271240 is 42172444.

It can be written as a sum of positive squares in 2 ways, for example, as 441588196 + 2683044 = 21014^2 + 1638^2 .

It is a super-2 number, since 2×4442712402 = 394753869382275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 444271199 and 444271208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111375 + ... + 115294.

Almost surely, 2444271240 is an apocalyptic number.

444271240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444271240 is an abundant number, since it is smaller than the sum of its proper divisors (718545860).

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

444271240 is a wasteful number, since it uses less digits than its factorization.

444271240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226694 (or 226683 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 28.

The square root of 444271240 is about 21077.7427633986. The cubic root of 444271240 is about 763.0436806909.

The spelling of 444271240 in words is "four hundred forty-four million, two hundred seventy-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 226669 453338 906676 1133345 1586683 1813352 2266690 3173366 4533380 6346732 7933415 9066760 11106781 12693464 15866830 22213562 31733660 44427124 55533905 63467320 88854248 111067810 222135620 444271240