Search a number
-
+
42975744 = 29372571
BaseRepresentation
bin1010001111110…
…0001000000000
32222212101122020
42203330020000
542000210434
64133041440
71031200500
oct243741000
988771566
1042975744
1122293349
1212486280
138b99146
1459c9a00
153b8d849
hex28fc200

42975744 has 120 divisors (see below), whose sum is σ = 133415568. Its totient is φ = 12257280.

The previous prime is 42975733. The next prime is 42975773. The reversal of 42975744 is 44757924.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 42975696 and 42975705.

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, 74979 + ... + 75549.

Almost surely, 242975744 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 42975744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66707784).

42975744 is an abundant number, since it is smaller than the sum of its proper divisors (90439824).

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

42975744 is an equidigital number, since it uses as much as digits as its factorization.

42975744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 583 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 42975744 is about 6555.5887607445. The cubic root of 42975744 is about 350.2739189015.

The spelling of 42975744 in words is "forty-two million, nine hundred seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 571 588 672 768 784 896 1142 1176 1344 1536 1568 1713 1792 2284 2352 2688 3136 3426 3584 3997 4568 4704 5376 6272 6852 7994 9136 9408 10752 11991 12544 13704 15988 18272 18816 23982 25088 27408 27979 31976 36544 37632 47964 54816 55958 63952 73088 75264 83937 95928 109632 111916 127904 146176 167874 191856 219264 223832 255808 292352 335748 383712 438528 447664 511616 671496 767424 877056 895328 1023232 1342992 1534848 1790656 2046464 2685984 3069696 3581312 5371968 6139392 7162624 10743936 14325248 21487872 42975744