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4078464 = 273131943
BaseRepresentation
bin1111100011101110000000
321200012121020
433203232000
52021002324
6223225440
746444365
oct17435600
97605536
104078464
112336235
121448280
13aca4c0
1478246c
15558679
hex3e3b80

4078464 has 128 divisors (see below), whose sum is σ = 12566400. Its totient is φ = 1161216.

The previous prime is 4078457. The next prime is 4078469. The reversal of 4078464 is 4648704.

4078464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4078469) 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 15 ways as a sum of consecutive naturals, for example, 94827 + ... + 94869.

It is an arithmetic number, because the mean of its divisors is an integer number (98175).

Almost surely, 24078464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4078464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283200).

4078464 is an abundant number, since it is smaller than the sum of its proper divisors (8487936).

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

4078464 is a wasteful number, since it uses less digits than its factorization.

4078464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 4078464 is about 2019.5207352241. The cubic root of 4078464 is about 159.7713400387.

The spelling of 4078464 in words is "four million, seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 43 48 52 57 64 76 78 86 96 104 114 128 129 152 156 172 192 208 228 247 258 304 312 344 384 416 456 494 516 559 608 624 688 741 817 832 912 988 1032 1118 1216 1248 1376 1482 1634 1664 1677 1824 1976 2064 2236 2432 2451 2496 2752 2964 3268 3354 3648 3952 4128 4472 4902 4992 5504 5928 6536 6708 7296 7904 8256 8944 9804 10621 11856 13072 13416 15808 16512 17888 19608 21242 23712 26144 26832 31616 31863 35776 39216 42484 47424 52288 53664 63726 71552 78432 84968 94848 104576 107328 127452 156864 169936 214656 254904 313728 339872 509808 679744 1019616 1359488 2039232 4078464