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2420916948 = 2232601111893
BaseRepresentation
bin1001000001001100…
…0100001011010100
320020201101022201200
42100103010023110
514424223320243
61040120352500
7113664311622
oct22023041324
96221338650
102420916948
1110325a980a
12576915730
132c7730548
1418d746512
15e2808ad3
hex904c42d4

2420916948 has 36 divisors (see below), whose sum is σ = 6129777108. Its totient is φ = 805622400.

The previous prime is 2420916947. The next prime is 2420916959. The reversal of 2420916948 is 8496190242.

It can be written as a sum of positive squares in 2 ways, for example, as 1724907024 + 696009924 = 41532^2 + 26382^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×24209169482 = 11721677738227269408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420916947) 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 11 ways as a sum of consecutive naturals, for example, 34311 + ... + 77582.

Almost surely, 22420916948 is an apocalyptic number.

It is an amenable number.

2420916948 is an abundant number, since it is smaller than the sum of its proper divisors (3708860160).

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

2420916948 is a wasteful number, since it uses less digits than its factorization.

2420916948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112504 (or 112499 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2420916948 is about 49202.8144316969. The cubic root of 2420916948 is about 1342.7442365375.

The spelling of 2420916948 in words is "two billion, four hundred twenty million, nine hundred sixteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 601 1202 1803 2404 3606 5409 7212 10818 21636 111893 223786 335679 447572 671358 1007037 1342716 2014074 4028148 67247693 134495386 201743079 268990772 403486158 605229237 806972316 1210458474 2420916948