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42897024 = 2732231619
BaseRepresentation
bin1010001110100…
…0111010000000
32222201101122200
42203220322000
541440201044
64131233200
71030422132
oct243507200
988641580
1042897024
112223a195
1212448800
138b6c371
1459a9052
153b75369
hex28e8e80

42897024 has 96 divisors (see below), whose sum is σ = 128887200. Its totient is φ = 13668864.

The previous prime is 42896977. The next prime is 42897053. The reversal of 42897024 is 42079824.

It is a tau number, because it is divible by the number of its divisors (96).

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 42897024.

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, 25687 + ... + 27305.

It is an arithmetic number, because the mean of its divisors is an integer number (1342575).

Almost surely, 242897024 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 42897024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64443600).

42897024 is an abundant number, since it is smaller than the sum of its proper divisors (85990176).

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

42897024 is a wasteful number, since it uses less digits than its factorization.

42897024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 42897024 is about 6549.5819713933. The cubic root of 42897024 is about 350.0599189932.

The spelling of 42897024 in words is "forty-two million, eight hundred ninety-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1619 1656 2208 2944 3238 3312 4416 4857 6476 6624 8832 9714 12952 13248 14571 19428 25904 26496 29142 37237 38856 51808 58284 74474 77712 103616 111711 116568 148948 155424 207232 223422 233136 297896 310848 335133 446844 466272 595792 621696 670266 893688 932544 1191584 1340532 1787376 1865088 2383168 2681064 3574752 4766336 5362128 7149504 10724256 14299008 21448512 42897024