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2472450040 = 235477118523
BaseRepresentation
bin1001001101011110…
…1001011111111000
320101022100110211201
42103113221133320
520030421400130
61045201103544
7115161323104
oct22327513770
96338313751
102472450040
1110596a7345
12590027bb4
133053046b8
1419651c904
15e70d7bca
hex935e97f8

2472450040 has 64 divisors (see below), whose sum is σ = 5761704960. Its totient is φ = 954253440.

The previous prime is 2472450037. The next prime is 2472450041. The reversal of 2472450040 is 400542742.

It is a happy number.

It is a super-2 number, since 2×24724500402 = 12226018400592003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2472449990 and 2472450008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472450041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124219 + ... + 142741.

It is an arithmetic number, because the mean of its divisors is an integer number (90026640).

Almost surely, 22472450040 is an apocalyptic number.

2472450040 is a gapful number since it is divisible by the number (20) 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 2472450040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880852480).

2472450040 is an abundant number, since it is smaller than the sum of its proper divisors (3289254920).

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

2472450040 is a wasteful number, since it uses less digits than its factorization.

2472450040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18652 (or 18648 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 2472450040 is about 49723.7371885903. The cubic root of 2472450040 is about 1352.2049089539.

Adding to 2472450040 its reverse (400542742), we get a palindrome (2872992782).

The spelling of 2472450040 in words is "two billion, four hundred seventy-two million, four hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 47 71 94 142 188 235 284 355 376 470 568 710 940 1420 1880 2840 3337 6674 13348 16685 18523 26696 33370 37046 66740 74092 92615 133480 148184 185230 370460 740920 870581 1315133 1741162 2630266 3482324 4352905 5260532 6575665 6964648 8705810 10521064 13151330 17411620 26302660 34823240 52605320 61811251 123622502 247245004 309056255 494490008 618112510 1236225020 2472450040