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42957320 = 2357331101
BaseRepresentation
bin1010001111011…
…1101000001000
32222211110100212
42203313220020
541444113240
64132420252
71031063000
oct243675010
988743325
1042957320
112228051a
1212477688
138b90943
1459c3000
153b88165
hex28f7a08

42957320 has 128 divisors (see below), whose sum is σ = 117504000. Its totient is φ = 14112000.

The previous prime is 42957319. The next prime is 42957329. The reversal of 42957320 is 2375924.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42957329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425270 + ... + 425370.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 242957320 is an apocalyptic number.

42957320 is a gapful number since it is divisible by the number (40) 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 42957320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752000).

42957320 is an abundant number, since it is smaller than the sum of its proper divisors (74546680).

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

42957320 is a wasteful number, since it uses less digits than its factorization.

42957320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 42957320 is about 6554.1833968848. The cubic root of 42957320 is about 350.2238567927.

The spelling of 42957320 in words is "forty-two million, nine hundred fifty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 49 56 62 70 98 101 124 140 155 196 202 217 245 248 280 310 343 392 404 434 490 505 620 686 707 808 868 980 1010 1085 1240 1372 1414 1519 1715 1736 1960 2020 2170 2744 2828 3038 3131 3430 3535 4040 4340 4949 5656 6076 6262 6860 7070 7595 8680 9898 10633 12152 12524 13720 14140 15190 15655 19796 21266 21917 24745 25048 28280 30380 31310 34643 39592 42532 43834 49490 53165 60760 62620 69286 85064 87668 98980 106330 109585 125240 138572 153419 173215 175336 197960 212660 219170 277144 306838 346430 425320 438340 613676 692860 767095 876680 1073933 1227352 1385720 1534190 2147866 3068380 4295732 5369665 6136760 8591464 10739330 21478660 42957320