Search a number
-
+
1070426448 = 243371373373
BaseRepresentation
bin111111110011010…
…110100101010000
32202121012022001000
4333303112211100
54143012121243
6254114542000
735345321550
oct7763264520
92677168030
101070426448
114aa256263
1225a597900
131409c7b40
14a2241160
1563e935d3
hex3fcd6950

1070426448 has 320 divisors, whose sum is σ = 3843642880. Its totient is φ = 277696512.

The previous prime is 1070426429. The next prime is 1070426449. The reversal of 1070426448 is 8446240701.

1070426448 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 4 + 2 + 644 + 8 = 666.

It is a super-2 number, since 2×10704264482 = 2291625561155793408, which contains 22 as substring.

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 (1070426449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2869590 + ... + 2869962.

It is an arithmetic number, because the mean of its divisors is an integer number (12011384).

Almost surely, 21070426448 is an apocalyptic number.

1070426448 is a gapful number since it is divisible by the number (18) 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 1070426448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921821440).

1070426448 is an abundant number, since it is smaller than the sum of its proper divisors (2773216432).

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

1070426448 is a wasteful number, since it uses less digits than its factorization.

1070426448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1070426448 is about 32717.3722661219. The cubic root of 1070426448 is about 1022.9449837545.

The spelling of 1070426448 in words is "one billion, seventy million, four hundred twenty-six thousand, four hundred forty-eight".