Search a number
-
+
42994368 = 2633139179
BaseRepresentation
bin1010010000000…
…0101011000000
32222220100012000
42210000223000
542001304433
64133304000
71031306004
oct244005300
988810160
1042994368
11222a633a
1212495000
138ba4771
1459d2704
153b94113
hex2900ac0

42994368 has 112 divisors (see below), whose sum is σ = 128016000. Its totient is φ = 14148864.

The previous prime is 42994351. The next prime is 42994373. The reversal of 42994368 is 86349924.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240103 + ... + 240281.

It is an arithmetic number, because the mean of its divisors is an integer number (1143000).

Almost surely, 242994368 is an apocalyptic number.

42994368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42994368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64008000).

42994368 is an abundant number, since it is smaller than the sum of its proper divisors (85021632).

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

42994368 is a wasteful number, since it uses less digits than its factorization.

42994368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 42994368 is about 6557.0090742655. The cubic root of 42994368 is about 350.3245099151.

The spelling of 42994368 in words is "forty-two million, nine hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 139 144 179 192 216 278 288 358 417 432 537 556 576 716 834 864 1074 1112 1251 1432 1611 1668 1728 2148 2224 2502 2864 3222 3336 3753 4296 4448 4833 5004 5728 6444 6672 7506 8592 8896 9666 10008 11456 12888 13344 15012 17184 19332 20016 24881 25776 26688 30024 34368 38664 40032 49762 51552 60048 74643 77328 80064 99524 103104 120096 149286 154656 199048 223929 240192 298572 309312 398096 447858 597144 671787 796192 895716 1194288 1343574 1592384 1791432 2388576 2687148 3582864 4777152 5374296 7165728 10748592 14331456 21497184 42994368