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42903936 = 273237243
BaseRepresentation
bin1010001110101…
…0100110000000
32222201202010200
42203222212000
541440411221
64131325200
71030451235
oct243524600
988652120
1042903936
11222443a9
1212450800
138b7255a
1459ab78c
153b77426
hex28ea980

42903936 has 48 divisors (see below), whose sum is σ = 123463860. Its totient is φ = 14300928.

The previous prime is 42903911. The next prime is 42903983. The reversal of 42903936 is 63930924.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42903936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17470 + ... + 19773.

Almost surely, 242903936 is an apocalyptic number.

It is an amenable number.

42903936 is an abundant number, since it is smaller than the sum of its proper divisors (80559924).

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

42903936 is a wasteful number, since it uses less digits than its factorization.

42903936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37263 (or 37248 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 42903936 is about 6550.1096174034. The cubic root of 42903936 is about 350.0787197085.

The spelling of 42903936 in words is "forty-two million, nine hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 37243 74486 111729 148972 223458 297944 335187 446916 595888 670374 893832 1191776 1340748 1787664 2383552 2681496 3575328 4767104 5362992 7150656 10725984 14301312 21451968 42903936