Search a number
-
+
42059988 = 223261107179
BaseRepresentation
bin1010000001110…
…0100011010100
32221010212110100
42200130203110
541231404423
64101254100
71020334605
oct240344324
987125410
1042059988
1121818323
1212104330
138938389
14582bdac
153a5c343
hex281c8d4

42059988 has 72 divisors (see below), whose sum is σ = 109680480. Its totient is φ = 13584960.

The previous prime is 42059929. The next prime is 42059999. The reversal of 42059988 is 88995024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234883 + ... + 235061.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 242059988 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 42059988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54840240).

42059988 is an abundant number, since it is smaller than the sum of its proper divisors (67620492).

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

42059988 is a wasteful number, since it uses less digits than its factorization.

42059988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 42059988 is about 6485.3672216768. The cubic root of 42059988 is about 347.7680777345.

The spelling of 42059988 in words is "forty-two million, fifty-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 107 122 179 183 214 244 321 358 366 428 537 549 642 716 732 963 1074 1098 1284 1611 1926 2148 2196 3222 3852 6444 6527 10919 13054 19153 19581 21838 26108 32757 38306 39162 43676 57459 58743 65514 76612 78324 98271 114918 117486 131028 172377 196542 229836 234972 344754 393084 689508 1168333 2336666 3504999 4673332 7009998 10514997 14019996 21029994 42059988