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4028493960 = 233355370379
BaseRepresentation
bin1111000000011101…
…1111000010001000
3101101202022200211000
43300013133002020
531222243301320
61503424335000
7201554430231
oct36007370210
911352280730
104028493960
111787a86157
12945174460
134c27ba04a
142a3050088
15188a02c90
hexf01df088

4028493960 has 128 divisors (see below), whose sum is σ = 13681872000. Its totient is φ = 1053980928.

The previous prime is 4028493949. The next prime is 4028493971. The reversal of 4028493960 is 693948204.

It is an interprime number because it is at equal distance from previous prime (4028493949) and next prime (4028493971).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22051 + ... + 92429.

It is an arithmetic number, because the mean of its divisors is an integer number (106889625).

Almost surely, 24028493960 is an apocalyptic number.

4028493960 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 4028493960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6840936000).

4028493960 is an abundant number, since it is smaller than the sum of its proper divisors (9653378040).

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

4028493960 is a wasteful number, since it uses less digits than its factorization.

4028493960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70452 (or 70442 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4028493960 is about 63470.4179913761. The cubic root of 4028493960 is about 1591.1614155883.

The spelling of 4028493960 in words is "four billion, twenty-eight million, four hundred ninety-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 90 106 108 120 135 159 180 212 216 265 270 318 360 424 477 530 540 636 795 954 1060 1080 1272 1431 1590 1908 2120 2385 2862 3180 3816 4770 5724 6360 7155 9540 11448 14310 19080 28620 57240 70379 140758 211137 281516 351895 422274 563032 633411 703790 844548 1055685 1266822 1407580 1689096 1900233 2111370 2533644 2815160 3167055 3730087 3800466 4222740 5067288 6334110 7460174 7600932 8445480 9501165 11190261 12668220 14920348 15201864 18650435 19002330 22380522 25336440 29840696 33570783 37300870 38004660 44761044 55951305 67141566 74601740 76009320 89522088 100712349 111902610 134283132 149203480 167853915 201424698 223805220 268566264 335707830 402849396 447610440 503561745 671415660 805698792 1007123490 1342831320 2014246980 4028493960