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2486376048 = 2431319920023
BaseRepresentation
bin1001010000110011…
…0001011001110000
320102021112222201210
42110030301121300
520043003013143
61050415400120
7115420563522
oct22414613160
96367488653
102486376048
111066549142
12594823040
1330816c240
14198305a12
15e8439033
hex94331670

2486376048 has 80 divisors (see below), whose sum is σ = 6952332800. Its totient is φ = 761156352.

The previous prime is 2486376037. The next prime is 2486376059. The reversal of 2486376048 is 8406736842.

It is an interprime number because it is at equal distance from previous prime (2486376037) and next prime (2486376059).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2486375988 and 2486376006.

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 15 ways as a sum of consecutive naturals, for example, 114165 + ... + 134187.

It is an arithmetic number, because the mean of its divisors is an integer number (86904160).

Almost surely, 22486376048 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 2486376048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476166400).

2486376048 is an abundant number, since it is smaller than the sum of its proper divisors (4465956752).

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

2486376048 is a wasteful number, since it uses less digits than its factorization.

2486376048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20246 (or 20240 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The square root of 2486376048 is about 49863.5743604487. The cubic root of 2486376048 is about 1354.7389098577.

The spelling of 2486376048 in words is "two billion, four hundred eighty-six million, three hundred seventy-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 199 208 312 398 597 624 796 1194 1592 2388 2587 3184 4776 5174 7761 9552 10348 15522 20023 20696 31044 40046 41392 60069 62088 80092 120138 124176 160184 240276 260299 320368 480552 520598 780897 961104 1041196 1561794 2082392 3123588 3984577 4164784 6247176 7969154 11953731 12494352 15938308 23907462 31876616 47814924 51799501 63753232 95629848 103599002 155398503 191259696 207198004 310797006 414396008 621594012 828792016 1243188024 2486376048