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4845256440 = 2335791393677
BaseRepresentation
bin1001000001100110…
…01011111011111000
3110111200012112022020
410200303023323320
534410341201230
62120442354440
7231033000033
oct44063137370
913450175266
104845256440
112067025972
12b327bba20
135c2a8b85b
1433d70001a
151d558b810
hex120ccbef8

4845256440 has 128 divisors (see below), whose sum is σ = 14829696000. Its totient is φ = 1266190848.

The previous prime is 4845256439. The next prime is 4845256457. The reversal of 4845256440 is 446525484.

It is a super-3 number, since 3×48452564403 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4845256392 and 4845256401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1315882 + ... + 1319558.

It is an arithmetic number, because the mean of its divisors is an integer number (115857000).

Almost surely, 24845256440 is an apocalyptic number.

4845256440 is a gapful number since it is divisible by the number (40) 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 4845256440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7414848000).

4845256440 is an abundant number, since it is smaller than the sum of its proper divisors (9984439560).

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

4845256440 is a wasteful number, since it uses less digits than its factorization.

4845256440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The square root of 4845256440 is about 69607.8762784787. The cubic root of 4845256440 is about 1692.1502501697.

The spelling of 4845256440 in words is "four billion, eight hundred forty-five million, two hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 139 158 237 278 316 395 417 474 556 632 695 790 834 948 1112 1185 1390 1580 1668 1896 2085 2370 2780 3160 3336 3677 4170 4740 5560 7354 8340 9480 10981 11031 14708 16680 18385 21962 22062 29416 32943 36770 43924 44124 54905 55155 65886 73540 87848 88248 109810 110310 131772 147080 164715 219620 220620 263544 290483 329430 439240 441240 511103 580966 658860 871449 1022206 1161932 1317720 1452415 1533309 1742898 2044412 2323864 2555515 2904830 3066618 3485796 4088824 4357245 5111030 5809660 6133236 6971592 7666545 8714490 10222060 11619320 12266472 15333090 17428980 20444120 30666180 34857960 40377137 61332360 80754274 121131411 161508548 201885685 242262822 323017096 403771370 484525644 605657055 807542740 969051288 1211314110 1615085480 2422628220 4845256440