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4002830629 = 72131623591
BaseRepresentation
bin1110111010010110…
…0101100100100101
3101022222000212100021
43232211211210211
531144211040004
61501110315141
7201123333100
oct35645454445
911288025307
104002830629
111774547996
12938658ab1
134ba3a2c45
1429d88d737
15186633d54
hexee965925

4002830629 has 12 divisors (see below), whose sum is σ = 4691906208. Its totient is φ = 3404801400.

The previous prime is 4002830621. The next prime is 4002830641. The reversal of 4002830629 is 9260382004.

It is not a de Polignac number, because 4002830629 - 23 = 4002830621 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4002830594 and 4002830603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002830621) 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 11 ways as a sum of consecutive naturals, for example, 305377 + ... + 318214.

It is an arithmetic number, because the mean of its divisors is an integer number (390992184).

Almost surely, 24002830629 is an apocalyptic number.

4002830629 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4002830629 is a deficient number, since it is larger than the sum of its proper divisors (689075579).

4002830629 is a wasteful number, since it uses less digits than its factorization.

4002830629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623736 (or 623729 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 4002830629 is about 63267.9273328912. The cubic root of 4002830629 is about 1587.7754089643.

The spelling of 4002830629 in words is "four billion, two million, eight hundred thirty thousand, six hundred twenty-nine".

Divisors: 1 7 49 131 917 6419 623591 4365137 30555959 81690421 571832947 4002830629