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42860448 = 2533113439
BaseRepresentation
bin1010001101111…
…1111110100000
32222122112111000
42203133332200
541433013243
64130352000
71030210401
oct243377640
988575430
1042860448
1122214764
121242b600
138b58817
1459999a8
153b695d3
hex28dffa0

42860448 has 96 divisors (see below), whose sum is σ = 126403200. Its totient is φ = 14128128.

The previous prime is 42860437. The next prime is 42860483. The reversal of 42860448 is 84406824.

42860448 is a `hidden beast` number, since 4 + 2 + 8 + 604 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97413 + ... + 97851.

It is an arithmetic number, because the mean of its divisors is an integer number (1316700).

Almost surely, 242860448 is an apocalyptic number.

42860448 is a gapful number since it is divisible by the number (48) 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 42860448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63201600).

42860448 is an abundant number, since it is smaller than the sum of its proper divisors (83542752).

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

42860448 is a wasteful number, since it uses less digits than its factorization.

42860448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 42860448 is about 6546.7891366684. The cubic root of 42860448 is about 349.9603982404.

The spelling of 42860448 in words is "forty-two million, eight hundred sixty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 113 144 216 226 288 339 432 439 452 678 864 878 904 1017 1317 1356 1756 1808 2034 2634 2712 3051 3512 3616 3951 4068 5268 5424 6102 7024 7902 8136 10536 10848 11853 12204 14048 15804 16272 21072 23706 24408 31608 32544 42144 47412 48816 49607 63216 94824 97632 99214 126432 148821 189648 198428 297642 379296 396856 446463 595284 793712 892926 1190568 1339389 1587424 1785852 2381136 2678778 3571704 4762272 5357556 7143408 10715112 14286816 21430224 42860448