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8040928434 = 23711213911383
BaseRepresentation
bin1110111110100011…
…01101010010110010
3202202101102111011020
413133101231102302
5112431434202214
63405521000310
7403155523020
oct73721552262
922671374136
108040928434
113456992600
121684a83096
139b1b73426
14563cbd710
15320dd24a9
hex1df46d4b2

8040928434 has 96 divisors (see below), whose sum is σ = 20349127680. Its totient is φ = 2073345120.

The previous prime is 8040928429. The next prime is 8040928451. The reversal of 8040928434 is 4348290408.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 700707 + ... + 712089.

It is an arithmetic number, because the mean of its divisors is an integer number (211970080).

Almost surely, 28040928434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8040928434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10174563840).

8040928434 is an abundant number, since it is smaller than the sum of its proper divisors (12308199246).

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

8040928434 is a wasteful number, since it uses less digits than its factorization.

8040928434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11556 (or 11545 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 8040928434 is about 89671.2241134245. The cubic root of 8040928434 is about 2003.4049028621.

The spelling of 8040928434 in words is "eight billion, forty million, nine hundred twenty-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 139 154 231 242 278 363 417 462 726 834 847 973 1529 1694 1946 2541 2919 3058 4587 5082 5838 9174 10703 11383 16819 21406 22766 32109 33638 34149 50457 64218 68298 79681 100914 117733 125213 159362 235466 239043 250426 353199 375639 478086 706398 751278 876491 1377343 1582237 1752982 2629473 2754686 3164474 4132029 4746711 5258946 8264058 9493422 9641401 11075659 17404607 19282802 22151318 28924203 33226977 34809214 52213821 57848406 66453954 104427642 121832249 191450677 243664498 365496747 382901354 574352031 730993494 1148704062 1340154739 2680309478 4020464217 8040928434