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42893520 = 2435313571
BaseRepresentation
bin1010001110100…
…0000011010000
32222201012211220
42203220003100
541440043040
64131205040
71030405665
oct243500320
988635756
1042893520
112223759a
1212446780
138b6a8a7
1459a7a6c
153b742d0
hex28e80d0

42893520 has 80 divisors (see below), whose sum is σ = 133628352. Its totient is φ = 11381760.

The previous prime is 42893519. The next prime is 42893527. The reversal of 42893520 is 2539824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42893527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74835 + ... + 75405.

Almost surely, 242893520 is an apocalyptic number.

42893520 is a gapful number since it is divisible by the number (40) 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 42893520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66814176).

42893520 is an abundant number, since it is smaller than the sum of its proper divisors (90734832).

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

42893520 is a wasteful number, since it uses less digits than its factorization.

42893520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 42893520 is about 6549.3144679424. The cubic root of 42893520 is about 350.0503873035.

The spelling of 42893520 in words is "forty-two million, eight hundred ninety-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 313 571 626 939 1142 1252 1565 1713 1878 2284 2504 2855 3130 3426 3756 4568 4695 5008 5710 6260 6852 7512 8565 9136 9390 11420 12520 13704 15024 17130 18780 22840 25040 27408 34260 37560 45680 68520 75120 137040 178723 357446 536169 714892 893615 1072338 1429784 1787230 2144676 2680845 2859568 3574460 4289352 5361690 7148920 8578704 10723380 14297840 21446760 42893520