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2484999480 = 2335174492713
BaseRepresentation
bin1001010000011110…
…0001010100111000
320102011222001102210
42110013201110320
520042124440410
61050330055120
7115403101305
oct22407412470
96364861383
102484999480
111065798987
1259427a4a0
13307aa97c2
141980680ac
15e8266220
hex941e1538

2484999480 has 128 divisors (see below), whose sum is σ = 7914024000. Its totient is φ = 622067712.

The previous prime is 2484999479. The next prime is 2484999509. The reversal of 2484999480 is 849994842.

It is a self number, because there is not a number n which added to its sum of digits gives 2484999480.

It is a congruent number.

It is an unprimeable number.

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, 914604 + ... + 917316.

Almost surely, 22484999480 is an apocalyptic number.

2484999480 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 2484999480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957012000).

2484999480 is an abundant number, since it is smaller than the sum of its proper divisors (5429024520).

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

2484999480 is a wasteful number, since it uses less digits than its factorization.

2484999480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The square root of 2484999480 is about 49849.7691067872. The cubic root of 2484999480 is about 1354.4888491987.

The spelling of 2484999480 in words is "two billion, four hundred eighty-four million, nine hundred ninety-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 449 510 680 898 1020 1347 1796 2040 2245 2694 2713 3592 4490 5388 5426 6735 7633 8139 8980 10776 10852 13470 13565 15266 16278 17960 21704 22899 26940 27130 30532 32556 38165 40695 45798 46121 53880 54260 61064 65112 76330 81390 91596 92242 108520 114495 138363 152660 162780 183192 184484 228990 230605 276726 305320 325560 368968 457980 461210 553452 691815 915960 922420 1106904 1218137 1383630 1844840 2436274 2767260 3654411 4872548 5534520 6090685 7308822 9745096 12181370 14617644 18272055 20708329 24362740 29235288 36544110 41416658 48725480 62124987 73088220 82833316 103541645 124249974 146176440 165666632 207083290 248499948 310624935 414166580 496999896 621249870 828333160 1242499740 2484999480