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2038467008 = 26174334327
BaseRepresentation
bin111100110000000…
…1000100111000000
312021001201212001002
41321200020213000
513133321421013
6534135231132
7101341453334
oct17140104700
95231655032
102038467008
11956730486
1248a8184a8
132664251c6
14154a2d7c4
15bde60358
hex798089c0

2038467008 has 56 divisors (see below), whose sum is σ = 4293912672. Its totient is φ = 956841984.

The previous prime is 2038467001. The next prime is 2038467017. The reversal of 2038467008 is 8007648302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038467001) 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 7 ways as a sum of consecutive naturals, for example, 468941 + ... + 473267.

It is an arithmetic number, because the mean of its divisors is an integer number (76677012).

Almost surely, 22038467008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2038467008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146956336).

2038467008 is an abundant number, since it is smaller than the sum of its proper divisors (2255445664).

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

2038467008 is a wasteful number, since it uses less digits than its factorization.

2038467008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789 (or 4779 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 2038467008 is about 45149.3854664712. The cubic root of 2038467008 is about 1267.9473751409.

The spelling of 2038467008 in words is "two billion, thirty-eight million, four hundred sixty-seven thousand, eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 433 544 866 1088 1732 3464 4327 6928 7361 8654 13856 14722 17308 27712 29444 34616 58888 69232 73559 117776 138464 147118 235552 276928 294236 471104 588472 1176944 1873591 2353888 3747182 4707776 7494364 14988728 29977456 31851047 59954912 63702094 119909824 127404188 254808376 509616752 1019233504 2038467008