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42896448 = 2632710639
BaseRepresentation
bin1010001110100…
…0110001000000
32222201100212100
42203220301000
541440141243
64131230400
71030420350
oct243506100
988640770
1042896448
1122239811
1212448400
138b6c01a
1459a8b60
153b750d3
hex28e8c40

42896448 has 84 divisors (see below), whose sum is σ = 140533120. Its totient is φ = 12254976.

The previous prime is 42896401. The next prime is 42896453. The reversal of 42896448 is 84469824.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1288 + ... + 9351.

Almost surely, 242896448 is an apocalyptic number.

42896448 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 42896448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70266560).

42896448 is an abundant number, since it is smaller than the sum of its proper divisors (97636672).

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

42896448 is a wasteful number, since it uses less digits than its factorization.

42896448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10664 (or 10651 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 42896448 is about 6549.5379989737. The cubic root of 42896448 is about 350.0583521757.

The spelling of 42896448 in words is "forty-two million, eight hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 10639 21278 31917 42556 63834 74473 85112 95751 127668 148946 170224 191502 223419 255336 297892 340448 383004 446838 510672 595784 670257 680896 766008 893676 1021344 1191568 1340514 1532016 1787352 2042688 2383136 2681028 3064032 3574704 4766272 5362056 6128064 7149408 10724112 14298816 21448224 42896448