Search a number
-
+
2481283616 = 25729537207
BaseRepresentation
bin1001001111100101…
…0110001000100000
320101220222021020012
42103321112020200
520040202033431
61050114304052
7115326364010
oct22371261040
96356867205
102481283616
111063690119
12592b88028
133070a8376
1419777bc40
15e7c8022b
hex93e56220

2481283616 has 96 divisors (see below), whose sum is σ = 5885187840. Its totient is φ = 1007225856.

The previous prime is 2481283601. The next prime is 2481283619. The reversal of 2481283616 is 6163821842.

It is not an unprimeable number, because it can be changed into a prime (2481283619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340685 + ... + 347891.

It is an arithmetic number, because the mean of its divisors is an integer number (61304040).

Almost surely, 22481283616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2481283616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942593920).

2481283616 is an abundant number, since it is smaller than the sum of its proper divisors (3403904224).

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

2481283616 is a wasteful number, since it uses less digits than its factorization.

2481283616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7306 (or 7298 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 2481283616 is about 49812.4845395208. The cubic root of 2481283616 is about 1353.8133819705.

The spelling of 2481283616 in words is "two billion, four hundred eighty-one million, two hundred eighty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 53 56 58 106 112 116 203 212 224 232 371 406 424 464 742 812 848 928 1484 1537 1624 1696 2968 3074 3248 5936 6148 6496 7207 10759 11872 12296 14414 21518 24592 28828 43036 49184 50449 57656 86072 100898 115312 172144 201796 209003 230624 344288 381971 403592 418006 763942 807184 836012 1463021 1527884 1614368 1672024 2673797 2926042 3055768 3344048 5347594 5852084 6111536 6688096 10695188 11077159 11704168 12223072 21390376 22154318 23408336 42780752 44308636 46816672 77540113 85561504 88617272 155080226 177234544 310160452 354469088 620320904 1240641808 2481283616