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4102557040 = 245378111709
BaseRepresentation
bin1111010010001000…
…0000110101110000
3101120220200111021001
43310202000311300
531400223311130
61515032011344
7203444105461
oct36442006560
911526614231
104102557040
11181587190a
12965b30b54
13504c4c05a
142acc0cd68
151902826ca
hexf4880d70

4102557040 has 80 divisors (see below), whose sum is σ = 9814059360. Its totient is φ = 1593768960.

The previous prime is 4102557037. The next prime is 4102557059. The reversal of 4102557040 is 407552014.

It is a tau number, because it is divible by the number of its divisors (80).

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, 2399706 + ... + 2401414.

It is an arithmetic number, because the mean of its divisors is an integer number (122675742).

Almost surely, 24102557040 is an apocalyptic number.

4102557040 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 4102557040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907029680).

4102557040 is an abundant number, since it is smaller than the sum of its proper divisors (5711502320).

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

4102557040 is a wasteful number, since it uses less digits than its factorization.

4102557040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 4102557040 is about 64051.2063898878. The cubic root of 4102557040 is about 1600.8533260657.

The spelling of 4102557040 in words is "four billion, one hundred two million, five hundred fifty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 811 1480 1622 1709 2960 3244 3418 4055 6488 6836 8110 8545 12976 13672 16220 17090 27344 30007 32440 34180 60014 63233 64880 68360 120028 126466 136720 150035 240056 252932 300070 316165 480112 505864 600140 632330 1011728 1200280 1264660 1385999 2400560 2529320 2771998 5058640 5543996 6929995 11087992 13859990 22175984 27719980 51281963 55439960 102563926 110879920 205127852 256409815 410255704 512819630 820511408 1025639260 2051278520 4102557040