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42905496 = 23319372543
BaseRepresentation
bin1010001110101…
…0111110011000
32222201211021110
42203222332120
541440433441
64131340320
71030455624
oct243527630
988654243
1042905496
1122245597
12124516a0
138b7318a
1459ac184
153b77b16
hex28eaf98

42905496 has 64 divisors (see below), whose sum is σ = 116006400. Its totient is φ = 13177728.

The previous prime is 42905491. The next prime is 42905503. The reversal of 42905496 is 69450924.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42905491) 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, 15601 + ... + 18143.

It is an arithmetic number, because the mean of its divisors is an integer number (1812600).

Almost surely, 242905496 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 42905496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58003200).

42905496 is an abundant number, since it is smaller than the sum of its proper divisors (73100904).

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

42905496 is a wasteful number, since it uses less digits than its factorization.

42905496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 42905496 is about 6550.2286982975. The cubic root of 42905496 is about 350.0829626462.

The spelling of 42905496 in words is "forty-two million, nine hundred five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 296 444 456 703 888 1406 2109 2543 2812 4218 5086 5624 7629 8436 10172 15258 16872 20344 30516 48317 61032 94091 96634 144951 188182 193268 282273 289902 376364 386536 564546 579804 752728 1129092 1159608 1787729 2258184 3575458 5363187 7150916 10726374 14301832 21452748 42905496