Search a number
-
+
42377448 = 23319199467
BaseRepresentation
bin1010000110101…
…0000011101000
32221201222221010
42201222003220
541322034243
64112143520
71023126261
oct241520350
987658833
1042377448
1121a14893
1212237ba0
138a19a19
1458b1968
153ac1433
hex286a0e8

42377448 has 64 divisors (see below), whose sum is σ = 112320000. Its totient is φ = 13286592.

The previous prime is 42377443. The next prime is 42377459. The reversal of 42377448 is 84477324.

It is not an unprimeable number, because it can be changed into a prime (42377443) 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, 90511 + ... + 90977.

It is an arithmetic number, because the mean of its divisors is an integer number (1755000).

Almost surely, 242377448 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 42377448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56160000).

42377448 is an abundant number, since it is smaller than the sum of its proper divisors (69942552).

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

42377448 is a wasteful number, since it uses less digits than its factorization.

42377448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 690 counting only the distinct ones).

The product of its digits is 150528, while the sum is 39.

The square root of 42377448 is about 6509.7963101775. The cubic root of 42377448 is about 348.6408458387.

The spelling of 42377448 in words is "forty-two million, three hundred seventy-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 199 228 398 456 467 597 796 934 1194 1401 1592 1868 2388 2802 3736 3781 4776 5604 7562 8873 11208 11343 15124 17746 22686 26619 30248 35492 45372 53238 70984 90744 92933 106476 185866 212952 278799 371732 557598 743464 1115196 1765727 2230392 3531454 5297181 7062908 10594362 14125816 21188724 42377448