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4070075004 = 2232535413943
BaseRepresentation
bin1111001010011000…
…0110101001111100
3101111122120020021200
43302212012221330
531313414400004
61511511455500
7202601031612
oct36246065174
911448506250
104070075004
1117a94a6656
12957087590
134cb2b8408
142a87956b2
1518c4b8239
hexf2986a7c

4070075004 has 72 divisors (see below), whose sum is σ = 10504402272. Its totient is φ = 1328296320.

The previous prime is 4070075003. The next prime is 4070075021. The reversal of 4070075004 is 4005700704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4070075003) 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 23 ways as a sum of consecutive naturals, for example, 1030257 + ... + 1034199.

It is an arithmetic number, because the mean of its divisors is an integer number (145894476).

Almost surely, 24070075004 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 4070075004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252201136).

4070075004 is an abundant number, since it is smaller than the sum of its proper divisors (6434327268).

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

4070075004 is a wasteful number, since it uses less digits than its factorization.

4070075004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4547 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 4070075004 is about 63797.1394656532. The cubic root of 4070075004 is about 1596.6172024450.

Adding to 4070075004 its reverse (4005700704), we get a palindrome (8075775708).

The spelling of 4070075004 in words is "four billion, seventy million, seventy-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 541 636 954 1082 1623 1908 2164 3246 3943 4869 6492 7886 9738 11829 15772 19476 23658 28673 35487 47316 57346 70974 86019 114692 141948 172038 208979 258057 344076 417958 516114 626937 835916 1032228 1253874 1880811 2133163 2507748 3761622 4266326 6399489 7523244 8532652 12798978 19198467 25597956 38396934 76793868 113057639 226115278 339172917 452230556 678345834 1017518751 1356691668 2035037502 4070075004