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1001427264 = 26321738589
BaseRepresentation
bin111011101100001…
…001000101000000
32120210100202221200
4323230021011000
54022331133024
6243212021200
733546664005
oct7354110500
92523322850
101001427264
11474309142
1223b461800
1312c619a16
1496ddd8ac
155cdb42c9
hex3bb09140

1001427264 has 42 divisors (see below), whose sum is σ = 2870412090. Its totient is φ = 333808896.

The previous prime is 1001427263. The next prime is 1001427277. The reversal of 1001427264 is 4627241001.

It can be written as a sum of positive squares in only one way, i.e., 911556864 + 89870400 = 30192^2 + 9480^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001427263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 868719 + ... + 869870.

It is an arithmetic number, because the mean of its divisors is an integer number (68343145).

Almost surely, 21001427264 is an apocalyptic number.

It is an amenable number.

1001427264 is an abundant number, since it is smaller than the sum of its proper divisors (1868984826).

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

1001427264 is a wasteful number, since it uses less digits than its factorization.

1001427264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738607 (or 1738594 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1001427264 is about 31645.3355804611. The cubic root of 1001427264 is about 1000.4755285035.

Adding to 1001427264 its reverse (4627241001), we get a palindrome (5628668265).

The spelling of 1001427264 in words is "one billion, one million, four hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1738589 3477178 5215767 6954356 10431534 13908712 15647301 20863068 27817424 31294602 41726136 55634848 62589204 83452272 111269696 125178408 166904544 250356816 333809088 500713632 1001427264