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40948992 = 283272539
BaseRepresentation
bin1001110000110…
…1010100000000
32212001102110100
42130031110000
540440331432
64021402400
71005026550
oct234152400
985042410
1040948992
1121129647
1211869400
138639796
14561d160
1538dd07c
hex270d500

40948992 has 108 divisors (see below), whose sum is σ = 134985760. Its totient is φ = 11695104.

The previous prime is 40948987. The next prime is 40948997. The reversal of 40948992 is 29984904.

It is an interprime number because it is at equal distance from previous prime (40948987) and next prime (40948997).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40948997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14859 + ... + 17397.

Almost surely, 240948992 is an apocalyptic number.

40948992 is a gapful number since it is divisible by the number (42) 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 40948992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67492880).

40948992 is an abundant number, since it is smaller than the sum of its proper divisors (94036768).

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

40948992 is a wasteful number, since it uses less digits than its factorization.

40948992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 40948992 is about 6399.1399422110. The cubic root of 40948992 is about 344.6786674078.

The spelling of 40948992 in words is "forty million, nine hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2539 2688 4032 5078 5376 7617 8064 10156 15234 16128 17773 20312 22851 30468 35546 40624 45702 53319 60936 71092 81248 91404 106638 121872 142184 159957 162496 182808 213276 243744 284368 319914 324992 365616 426552 487488 568736 639828 649984 731232 853104 974976 1137472 1279656 1462464 1706208 1949952 2274944 2559312 2924928 3412416 4549888 5118624 5849856 6824832 10237248 13649664 20474496 40948992