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1007476457 = 13174558717
BaseRepresentation
bin111100000011001…
…101111011101001
32121012202002212212
4330003031323221
54030403221312
6243545414505
733652260101
oct7403157351
92535662785
101007476457
1147776aa79
1224149a435
13130957220
1497b36201
155d6ab822
hex3c0cdee9

1007476457 has 8 divisors (see below), whose sum is σ = 1148796936. Its totient is φ = 875273472.

The previous prime is 1007476453. The next prime is 1007476469. The reversal of 1007476457 is 7546747001.

It can be written as a sum of positive squares in 4 ways, for example, as 423577561 + 583898896 = 20581^2 + 24164^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1007476457 - 22 = 1007476453 is a prime.

It is a super-2 number, since 2×10074764572 = 2030017622818545698, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007476451) 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 7 ways as a sum of consecutive naturals, for example, 2279138 + ... + 2279579.

It is an arithmetic number, because the mean of its divisors is an integer number (143599617).

Almost surely, 21007476457 is an apocalyptic number.

1007476457 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1007476457 is a deficient number, since it is larger than the sum of its proper divisors (141320479).

1007476457 is a wasteful number, since it uses less digits than its factorization.

1007476457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558747.

The product of its (nonzero) digits is 164640, while the sum is 41.

The square root of 1007476457 is about 31740.7696346513. The cubic root of 1007476457 is about 1002.4859671794.

The spelling of 1007476457 in words is "one billion, seven million, four hundred seventy-six thousand, four hundred fifty-seven".

Divisors: 1 13 17 221 4558717 59263321 77498189 1007476457