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42978816 = 29333109
BaseRepresentation
bin1010001111110…
…0111000000000
32222212112212000
42203330320000
542000310231
64133104000
71031212446
oct243747000
988775760
1042978816
1122295691
1212488000
138b9a66a
1459cab96
153b8e6e6
hex28fce00

42978816 has 80 divisors (see below), whose sum is σ = 127261200. Its totient is φ = 14321664.

The previous prime is 42978799. The next prime is 42978829. The reversal of 42978816 is 61887924.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12270 + ... + 15378.

It is an arithmetic number, because the mean of its divisors is an integer number (1590765).

Almost surely, 242978816 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 42978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63630600).

42978816 is an abundant number, since it is smaller than the sum of its proper divisors (84282384).

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

42978816 is an equidigital number, since it uses as much as digits as its factorization.

42978816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3114 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 42978816 is about 6555.8230604555. The cubic root of 42978816 is about 350.2822648174.

The spelling of 42978816 in words is "forty-two million, nine hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3109 3456 4608 6218 6912 9327 12436 13824 18654 24872 27981 37308 49744 55962 74616 83943 99488 111924 149232 167886 198976 223848 298464 335772 397952 447696 596928 671544 795904 895392 1193856 1343088 1591808 1790784 2387712 2686176 3581568 4775424 5372352 7163136 10744704 14326272 21489408 42978816