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4592113944 = 23311234716091
BaseRepresentation
bin1000100011011011…
…00001100100011000
3102212000212120002020
410101231201210120
533401040121234
62035400534440
7221540216205
oct42155414430
912760776066
104592113944
111a471461a0
12a81a81420
135824b89b2
14317c46cac
151bd236549
hex111b61918

4592113944 has 128 divisors (see below), whose sum is σ = 13347348480. Its totient is φ = 1302646400.

The previous prime is 4592113937. The next prime is 4592113951. The reversal of 4592113944 is 4493112954.

It is an interprime number because it is at equal distance from previous prime (4592113937) and next prime (4592113951).

It is a junction number, because it is equal to n+sod(n) for n = 4592113896 and 4592113905.

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, 277339 + ... + 293429.

It is an arithmetic number, because the mean of its divisors is an integer number (104276160).

Almost surely, 24592113944 is an apocalyptic number.

4592113944 is a gapful number since it is divisible by the number (44) 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 4592113944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673674240).

4592113944 is an abundant number, since it is smaller than the sum of its proper divisors (8755234536).

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

4592113944 is a wasteful number, since it uses less digits than its factorization.

4592113944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16181 (or 16177 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 4592113944 is about 67765.1381168813. The cubic root of 4592113944 is about 1662.1525691836.

The spelling of 4592113944 in words is "four billion, five hundred ninety-two million, one hundred thirteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 47 66 69 88 92 94 132 138 141 184 188 253 264 276 282 376 506 517 552 564 759 1012 1034 1081 1128 1518 1551 2024 2068 2162 3036 3102 3243 4136 4324 6072 6204 6486 8648 11891 12408 12972 16091 23782 25944 32182 35673 47564 48273 64364 71346 95128 96546 128728 142692 177001 193092 285384 354002 370093 386184 531003 708004 740186 756277 1062006 1110279 1416008 1480372 1512554 2124012 2220558 2268831 2960744 3025108 4071023 4248024 4441116 4537662 6050216 8142046 8319047 8882232 9075324 12213069 16284092 16638094 17394371 18150648 24426138 24957141 32568184 33276188 34788742 48852276 49914282 52183113 66552376 69577484 97704552 99828564 104366226 139154968 191338081 199657128 208732452 382676162 417464904 574014243 765352324 1148028486 1530704648 2296056972 4592113944