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42896496 = 2434171307
BaseRepresentation
bin1010001110100…
…0110001110000
32222201100221010
42203220301300
541440141441
64131230520
71030420446
oct243506160
988640833
1042896496
1122239855
1212448440
138b6c056
1459a8b96
153b75116
hex28e8c70

42896496 has 80 divisors (see below), whose sum is σ = 115492608. Its totient is φ = 13708800.

The previous prime is 42896489. The next prime is 42896501. The reversal of 42896496 is 69469824.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 139575 + ... + 139881.

Almost surely, 242896496 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 42896496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57746304).

42896496 is an abundant number, since it is smaller than the sum of its proper divisors (72596112).

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

42896496 is a wasteful number, since it uses less digits than its factorization.

42896496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 42896496 is about 6549.5416633532. The cubic root of 42896496 is about 350.0584827444.

The spelling of 42896496 in words is "forty-two million, eight hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 71 82 123 142 164 213 246 284 307 328 426 492 568 614 656 852 921 984 1136 1228 1704 1842 1968 2456 2911 3408 3684 4912 5822 7368 8733 11644 12587 14736 17466 21797 23288 25174 34932 37761 43594 46576 50348 65391 69864 75522 87188 100696 130782 139728 151044 174376 201392 261564 302088 348752 523128 604176 893677 1046256 1787354 2681031 3574708 5362062 7149416 10724124 14298832 21448248 42896496