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4269789040 = 2451113213673
BaseRepresentation
bin1111111001111111…
…1100111101110000
3102000120100202102211
43332133330331300
532221031222130
61543404221504
7210544415356
oct37637747560
912016322384
104269789040
1118a1203780
129b1b3a894
135307a24ba
142c71017d6
1519ecb7a2a
hexfe7fcf70

4269789040 has 80 divisors (see below), whose sum is σ = 10840886496. Its totient is φ = 1551052800.

The previous prime is 4269789031. The next prime is 4269789131. The reversal of 4269789040 is 409879624.

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

It is a super-2 number, since 2×42697890402 = 36462196892208243200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1160644 + ... + 1164316.

Almost surely, 24269789040 is an apocalyptic number.

4269789040 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 4269789040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420443248).

4269789040 is an abundant number, since it is smaller than the sum of its proper divisors (6571097456).

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

4269789040 is a wasteful number, since it uses less digits than its factorization.

4269789040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 4269789040 is about 65343.6227951894. The cubic root of 4269789040 is about 1622.3160795414.

The spelling of 4269789040 in words is "four billion, two hundred sixty-nine million, seven hundred eighty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1321 2642 3673 5284 6605 7346 10568 13210 14531 14692 18365 21136 26420 29062 29384 36730 40403 52840 58124 58768 72655 73460 80806 105680 116248 145310 146920 161612 202015 232496 290620 293840 323224 404030 581240 646448 808060 1162480 1616120 3232240 4852033 9704066 19408132 24260165 38816264 48520330 53372363 77632528 97040660 106744726 194081320 213489452 266861815 388162640 426978904 533723630 853957808 1067447260 2134894520 4269789040