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4087430880 = 253513655037
BaseRepresentation
bin1111001110100001…
…0011111011100000
3101112212020000001220
43303220103323200
531332340242010
61513331455040
7203201406051
oct36350237340
911485200056
104087430880
111808280355
12960a57480
13501a84170
142aabd2728
1518dc95970
hexf3a13ee0

4087430880 has 96 divisors (see below), whose sum is σ = 13865844384. Its totient is φ = 1006135296.

The previous prime is 4087430863. The next prime is 4087430903. The reversal of 4087430880 is 880347804.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 321279 + ... + 333758.

It is an arithmetic number, because the mean of its divisors is an integer number (144435879).

Almost surely, 24087430880 is an apocalyptic number.

4087430880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4087430880 is an abundant number, since it is smaller than the sum of its proper divisors (9778413504).

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

4087430880 is a wasteful number, since it uses less digits than its factorization.

4087430880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655068 (or 655060 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 4087430880 is about 63933.0186992606. The cubic root of 4087430880 is about 1598.8834501707.

The spelling of 4087430880 in words is "four billion, eighty-seven million, four hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 655037 1310074 1965111 2620148 3275185 3930222 5240296 6550370 7860444 8515481 9825555 10480592 13100740 15720888 17030962 19651110 20961184 25546443 26201480 31441776 34061924 39302220 42577405 51092886 52402960 62883552 68123848 78604440 85154810 102185772 104805920 127732215 136247696 157208880 170309620 204371544 255464430 272495392 314417760 340619240 408743088 510928860 681238480 817486176 1021857720 1362476960 2043715440 4087430880