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4028257280 = 21058872
BaseRepresentation
bin1111000000011010…
…0101010000000000
3101101201212200011002
43300012211100000
531222213213110
61503415311132
7201552423215
oct36006452000
911351780132
104028257280
111787934353
1294507b4a8
134c27363b8
142a2dcbb0c
151889a7aa5
hexf01a5400

4028257280 has 66 divisors (see below), whose sum is σ = 9674003274. Its totient is φ = 1609486336.

The previous prime is 4028257231. The next prime is 4028257313. The reversal of 4028257280 is 827528204.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3222605824 + 805651456 = 56768^2 + 28384^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4540997 + ... + 4541883.

Almost surely, 24028257280 is an apocalyptic number.

4028257280 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 4028257280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837001637).

4028257280 is an abundant number, since it is smaller than the sum of its proper divisors (5645745994).

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

4028257280 is an frugal number, since it uses more digits than its factorization.

4028257280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 4028257280 is about 63468.5534733540. The cubic root of 4028257280 is about 1591.1302539463.

The spelling of 4028257280 in words is "four billion, twenty-eight million, two hundred fifty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 887 1024 1280 1774 2560 3548 4435 5120 7096 8870 14192 17740 28384 35480 56768 70960 113536 141920 227072 283840 454144 567680 786769 908288 1135360 1573538 2270720 3147076 3933845 4541440 6294152 7867690 12588304 15735380 25176608 31470760 50353216 62941520 100706432 125883040 201412864 251766080 402825728 503532160 805651456 1007064320 2014128640 4028257280