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2423778144 = 25379319591
BaseRepresentation
bin1001000001110111…
…1110101101100000
320020220202200112220
42100131332231200
514430441400034
61040301551040
7114030526404
oct22035765540
96226680486
102423778144
111034183437
12577875480
132c81c2968
1418dc8d104
15e2bc1749
hex9077eb60

2423778144 has 48 divisors (see below), whose sum is σ = 6442974720. Its totient is φ = 797696640.

The previous prime is 2423778143. The next prime is 2423778163. The reversal of 2423778144 is 4418773242.

2423778144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2423778096 and 2423778105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423778143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152212 + ... + 167379.

It is an arithmetic number, because the mean of its divisors is an integer number (134228640).

Almost surely, 22423778144 is an apocalyptic number.

2423778144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2423778144 is an abundant number, since it is smaller than the sum of its proper divisors (4019196576).

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

2423778144 is a wasteful number, since it uses less digits than its factorization.

2423778144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319683 (or 319675 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The square root of 2423778144 is about 49231.8813778226. The cubic root of 2423778144 is about 1343.2730088989.

The spelling of 2423778144 in words is "two billion, four hundred twenty-three million, seven hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 319591 639182 958773 1278364 1917546 2556728 3835092 5113456 7670184 10226912 15340368 25247689 30680736 50495378 75743067 100990756 151486134 201981512 302972268 403963024 605944536 807926048 1211889072 2423778144