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2472442704 = 24341907749
BaseRepresentation
bin1001001101011110…
…0111101101010000
320101022100002210000
42103113213231100
520030421131304
61045201010000
7115161262524
oct22327475520
96338302700
102472442704
1110596a1886
12590023900
13305301264
14196519d84
15e70d5939
hex935e7b50

2472442704 has 50 divisors (see below), whose sum is σ = 7155970250. Its totient is φ = 824147136.

The previous prime is 2472442673. The next prime is 2472442717. The reversal of 2472442704 is 4072442742.

It can be written as a sum of positive squares in only one way, i.e., 2090318400 + 382124304 = 45720^2 + 19548^2 .

It is a super-2 number, since 2×24724427042 = 12225945849125663232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 952579 + ... + 955170.

It is an arithmetic number, because the mean of its divisors is an integer number (143119405).

Almost surely, 22472442704 is an apocalyptic number.

2472442704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2472442704 is an abundant number, since it is smaller than the sum of its proper divisors (4683527546).

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

2472442704 is a wasteful number, since it uses less digits than its factorization.

2472442704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907769 (or 1907754 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 36.

The square root of 2472442704 is about 49723.6634209508. The cubic root of 2472442704 is about 1352.2035715780.

The spelling of 2472442704 in words is "two billion, four hundred seventy-two million, four hundred forty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1907749 3815498 5723247 7630996 11446494 15261992 17169741 22892988 30523984 34339482 45785976 51509223 68678964 91571952 103018446 137357928 154527669 206036892 274715856 309055338 412073784 618110676 824147568 1236221352 2472442704