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4072502313 = 3311196111831
BaseRepresentation
bin1111001010111101…
…0111010000101001
3101111211010112221000
43302233113100221
531320030033223
61512035505213
7202630461405
oct36257272051
911454115830
104072502313
1117aa9042a0
12957a58209
134cb9581a9
142a8c28105
1518c7e7543
hexf2bd7429

4072502313 has 64 divisors (see below), whose sum is σ = 7042406400. Its totient is φ = 2299752000.

The previous prime is 4072502311. The next prime is 4072502321. The reversal of 4072502313 is 3132052704.

4072502313 is a `hidden beast` number, since 407 + 25 + 0 + 231 + 3 = 666.

It is not a de Polignac number, because 4072502313 - 21 = 4072502311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4072502311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338308 + ... + 350138.

It is an arithmetic number, because the mean of its divisors is an integer number (110037600).

Almost surely, 24072502313 is an apocalyptic number.

It is an amenable number.

4072502313 is a deficient number, since it is larger than the sum of its proper divisors (2969904087).

4072502313 is a wasteful number, since it uses less digits than its factorization.

4072502313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11931 (or 11925 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4072502313 is about 63816.1602809194. The cubic root of 4072502313 is about 1596.9345359206.

The spelling of 4072502313 in words is "four billion, seventy-two million, five hundred two thousand, three hundred thirteen".

Divisors: 1 3 9 11 19 27 33 57 61 99 171 183 209 297 513 549 627 671 1159 1647 1881 2013 3477 5643 6039 10431 11831 12749 18117 31293 35493 38247 106479 114741 130141 224789 319437 344223 390423 674367 721691 1171269 2023101 2165073 2472679 3513807 6069303 6495219 7418037 7938601 13712129 19485657 22254111 23815803 41136387 66762333 71447409 123409161 150833419 214342227 370227483 452500257 1357500771 4072502313