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42888744 = 2333238997
BaseRepresentation
bin1010001110011…
…0111000101000
32222200222022000
42203212320220
541434414434
64131131000
71030356033
oct243467050
988628260
1042888744
1122233a48
1212443a60
138b68672
1459a601a
153b72b99
hex28e6e28

42888744 has 128 divisors (see below), whose sum is σ = 127008000. Its totient is φ = 13381632.

The previous prime is 42888737. The next prime is 42888751. The reversal of 42888744 is 44788824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42888737) and next prime (42888751).

Its product of digits (458752) is a multiple of the sum of its prime factors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 42888744.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442104 + ... + 442200.

It is an arithmetic number, because the mean of its divisors is an integer number (992250).

Almost surely, 242888744 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 42888744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504000).

42888744 is an abundant number, since it is smaller than the sum of its proper divisors (84119256).

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

42888744 is a wasteful number, since it uses less digits than its factorization.

42888744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The square root of 42888744 is about 6548.9498394781. The cubic root of 42888744 is about 350.0373946440.

The spelling of 42888744 in words is "forty-two million, eight hundred eighty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 89 92 97 108 138 178 184 194 207 216 267 276 291 356 388 414 534 552 582 621 712 776 801 828 873 1068 1164 1242 1602 1656 1746 2047 2136 2231 2328 2403 2484 2619 3204 3492 4094 4462 4806 4968 5238 6141 6408 6693 6984 8188 8633 8924 9612 10476 12282 13386 16376 17266 17848 18423 19224 20079 20952 24564 25899 26772 34532 36846 40158 49128 51798 53544 55269 60237 69064 73692 77697 80316 103596 110538 120474 147384 155394 160632 198559 207192 221076 233091 240948 310788 397118 442152 466182 481896 595677 621576 794236 932364 1191354 1588472 1787031 1864728 2382708 3574062 4765416 5361093 7148124 10722186 14296248 21444372 42888744