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2484500564 = 22713173311213
BaseRepresentation
bin1001010000010110…
…0111100001010100
320102011000201001102
42110011213201110
520042013004224
61050311245232
7115365622610
oct22405474124
96364021042
102484500564
111065488057
12594079818
133079636a0
14197d78340
15e81b84ae
hex94167854

2484500564 has 96 divisors (see below), whose sum is σ = 5687813376. Its totient is φ = 921507840.

The previous prime is 2484500563. The next prime is 2484500567. The reversal of 2484500564 is 4650054842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2484500563) 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 31 ways as a sum of consecutive naturals, for example, 2047622 + ... + 2048834.

It is an arithmetic number, because the mean of its divisors is an integer number (59248056).

Almost surely, 22484500564 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 2484500564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843906688).

2484500564 is an abundant number, since it is smaller than the sum of its proper divisors (3203312812).

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

2484500564 is a wasteful number, since it uses less digits than its factorization.

2484500564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

The square root of 2484500564 is about 49844.7646598918. The cubic root of 2484500564 is about 1354.3981957405.

The spelling of 2484500564 in words is "two billion, four hundred eighty-four million, five hundred thousand, five hundred sixty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 331 364 442 476 662 884 1213 1324 1547 2317 2426 3094 4303 4634 4852 5627 6188 8491 8606 9268 11254 15769 16982 17212 20621 22508 30121 31538 33964 39389 41242 60242 63076 73151 78778 82484 110383 120484 144347 146302 157556 220766 268073 288694 292604 401503 441532 512057 536146 577388 803006 1024114 1072292 1606012 1876511 2048228 2810521 3753022 5219539 5621042 6825551 7506044 10439078 11242084 13651102 20878156 27302204 36536773 47778857 73073546 88732163 95557714 146147092 177464326 191115428 354928652 621125141 1242250282 2484500564