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2368002028 = 22738272087
BaseRepresentation
bin1000110100100100…
…1101011111101100
320010000210222002211
42031021031133230
514322202031103
61030550300204
7112452454000
oct21511153754
96100728084
102368002028
111005747a77
12561057664
132b9794442
141866d0700
15dcd5536d
hex8d24d7ec

2368002028 has 48 divisors (see below), whose sum is σ = 4840819200. Its totient is φ = 1013145168.

The previous prime is 2368002023. The next prime is 2368002061. The reversal of 2368002028 is 8202008632.

It is a super-2 number, since 2×23680020282 = 11214867209224225568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2368002023) 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 15 ways as a sum of consecutive naturals, for example, 1133601 + ... + 1135687.

It is an arithmetic number, because the mean of its divisors is an integer number (100850400).

Almost surely, 22368002028 is an apocalyptic number.

2368002028 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 2368002028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420409600).

2368002028 is an abundant number, since it is smaller than the sum of its proper divisors (2472817172).

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

2368002028 is a wasteful number, since it uses less digits than its factorization.

2368002028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2368002028 is about 48662.1210799529. The cubic root of 2368002028 is about 1332.8891211620.

The spelling of 2368002028 in words is "two billion, three hundred sixty-eight million, two thousand, twenty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 827 1372 1654 2087 3308 4174 5789 8348 11578 14609 23156 29218 40523 58436 81046 102263 162092 204526 283661 409052 567322 715841 1134644 1431682 1725949 2863364 3451898 6903796 12081643 24163286 48326572 84571501 169143002 338286004 592000507 1184001014 2368002028