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2938145028 = 223713192347131
BaseRepresentation
bin1010111100100000…
…1000100100000100
321120202122020021020
42233020020210010
522004131120103
61203314351140
7132544551330
oct25710104404
97522566236
102938145028
111278562935
1269bb8b4b0
1337a938170
141dc3047c0
15122e26753
hexaf208904

2938145028 has 384 divisors, whose sum is σ = 9537454080. Its totient is φ = 682007040.

The previous prime is 2938145027. The next prime is 2938145029. The reversal of 2938145028 is 8205418392.

It is an interprime number because it is at equal distance from previous prime (2938145027) and next prime (2938145029).

It is a super-2 number, since 2×29381450282 = 17265392411122241568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2938145027) 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 127 ways as a sum of consecutive naturals, for example, 22428523 + ... + 22428653.

It is an arithmetic number, because the mean of its divisors is an integer number (24837120).

Almost surely, 22938145028 is an apocalyptic number.

2938145028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2938145028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768727040).

2938145028 is an abundant number, since it is smaller than the sum of its proper divisors (6599309052).

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

2938145028 is a wasteful number, since it uses less digits than its factorization.

2938145028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 2938145028 is about 54204.6587296701. The cubic root of 2938145028 is about 1432.2683980596.

The spelling of 2938145028 in words is "two billion, nine hundred thirty-eight million, one hundred forty-five thousand, twenty-eight".