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78128050 = 252721113223
BaseRepresentation
bin1001010100000…
…10001110110010
312110000022112111
410222002032302
5130000044200
611430315534
71636035400
oct452021662
9173008474
1078128050
1140112840
12221b8baa
1313256320
14a53a470
156cd40ba
hex4a823b2

78128050 has 144 divisors (see below), whose sum is σ = 199487232. Its totient is φ = 22377600.

The previous prime is 78128041. The next prime is 78128051. The reversal of 78128050 is 5082187.

It is a super-2 number, since 2×781280502 = 12207984393605000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78128051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 350239 + ... + 350461.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 278128050 is an apocalyptic number.

78128050 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

78128050 is an abundant number, since it is smaller than the sum of its proper divisors (121359182).

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

78128050 is a wasteful number, since it uses less digits than its factorization.

78128050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 78128050 is about 8839.0072972026. The cubic root of 78128050 is about 427.4995497185.

The spelling of 78128050 in words is "seventy-eight million, one hundred twenty-eight thousand, fifty".

Divisors: 1 2 5 7 10 11 13 14 22 25 26 35 49 50 55 65 70 77 91 98 110 130 143 154 175 182 223 245 275 286 325 350 385 446 455 490 539 550 637 650 715 770 910 1001 1078 1115 1225 1274 1430 1561 1925 2002 2230 2275 2450 2453 2695 2899 3122 3185 3575 3850 4550 4906 5005 5390 5575 5798 6370 7007 7150 7805 10010 10927 11150 12265 13475 14014 14495 15610 15925 17171 20293 21854 24530 25025 26950 28990 31850 31889 34342 35035 39025 40586 50050 54635 61325 63778 70070 72475 78050 85855 101465 109270 120197 122650 142051 144950 159445 171710 175175 202930 223223 240394 273175 284102 318890 350350 429275 446446 507325 546350 600985 710255 797225 858550 1014650 1116115 1201970 1420510 1562561 1594450 2232230 3004925 3125122 3551275 5580575 6009850 7102550 7812805 11161150 15625610 39064025 78128050