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4629405375 = 325374431327
BaseRepresentation
bin1000100111110111…
…10001111010111111
3102221122001011022100
410103323301322333
533440111433000
62043212120143
7222502203450
oct42373617277
912848034270
104629405375
111a661a6861
12a92466053
1358a14472a
1431cb93127
151c1650a00
hex113ef1ebf

4629405375 has 96 divisors (see below), whose sum is σ = 9566189568. Its totient is φ = 2109931200.

The previous prime is 4629405373. The next prime is 4629405419. The reversal of 4629405375 is 5735049264.

4629405375 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4629405375 - 21 = 4629405373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4629405375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4629405373) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3487962 + ... + 3489288.

It is an arithmetic number, because the mean of its divisors is an integer number (99647808).

Almost surely, 24629405375 is an apocalyptic number.

4629405375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4629405375 is an abundant number, since it is smaller than the sum of its proper divisors (4936784193).

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

4629405375 is a wasteful number, since it uses less digits than its factorization.

4629405375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 4629405375 is about 68039.7337957755. The cubic root of 4629405375 is about 1666.6397556766.

The spelling of 4629405375 in words is "four billion, six hundred twenty-nine million, four hundred five thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 443 525 875 1125 1327 1329 1575 2215 2625 3101 3981 3987 6635 6645 7875 9289 9303 11075 11943 15505 19905 19935 27867 27909 33175 33225 46445 46515 55375 59715 77525 83601 99525 99675 139335 139545 165875 166125 232225 232575 298575 387625 418005 497625 498375 587861 696675 697725 1161125 1162875 1492875 1763583 2090025 2939305 3483375 3488625 4115027 5290749 8817915 10450125 12345081 14696525 20575135 26453745 37035243 44089575 61725405 73482625 102875675 132268725 185176215 220447875 308627025 514378375 661343625 925881075 1543135125 4629405375