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2421315552 = 25343976047
BaseRepresentation
bin1001000001010010…
…0101011111100000
320020202010120111210
42100110211133200
514424324044202
61040133110120
7114000562005
oct22024453740
96222116453
102421315552
111032851237
12576a88340
132c783cac6
1418d80b8ac
15e2886c6c
hex905257e0

2421315552 has 96 divisors (see below), whose sum is σ = 6571901952. Its totient is φ = 780079104.

The previous prime is 2421315551. The next prime is 2421315553. The reversal of 2421315552 is 2555131242.

It is an interprime number because it is at equal distance from previous prime (2421315551) and next prime (2421315553).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421315551) 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, 397393 + ... + 403439.

It is an arithmetic number, because the mean of its divisors is an integer number (68457312).

Almost surely, 22421315552 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 2421315552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285950976).

2421315552 is an abundant number, since it is smaller than the sum of its proper divisors (4150586400).

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

2421315552 is a wasteful number, since it uses less digits than its factorization.

2421315552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6200 (or 6192 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 2421315552 is about 49206.8648869241. The cubic root of 2421315552 is about 1342.8179267773.

Adding to 2421315552 its reverse (2555131242), we get a palindrome (4976446794).

The spelling of 2421315552 in words is "two billion, four hundred twenty-one million, three hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 97 129 172 194 258 291 344 388 516 582 688 776 1032 1164 1376 1552 2064 2328 3104 4128 4171 4656 6047 8342 9312 12094 12513 16684 18141 24188 25026 33368 36282 48376 50052 66736 72564 96752 100104 133472 145128 193504 200208 260021 290256 400416 520042 580512 586559 780063 1040084 1173118 1560126 1759677 2080168 2346236 3120252 3519354 4160336 4692472 6240504 7038708 8320672 9384944 12481008 14077416 18769888 24962016 25222037 28154832 50444074 56309664 75666111 100888148 151332222 201776296 302664444 403552592 605328888 807105184 1210657776 2421315552