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40959840 = 253585333
BaseRepresentation
bin1001110000111…
…1111101100000
32212001222100010
42130033331200
540441203330
64021524520
71005103305
oct234177540
985058303
1040959840
1121136809
1211873740
1386416bc
1456230ac
1538e13b0
hex270ff60

40959840 has 48 divisors (see below), whose sum is σ = 129025008. Its totient is φ = 10922496.

The previous prime is 40959833. The next prime is 40959869. The reversal of 40959840 is 4895904.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×409598403 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42187 + ... + 43146.

It is an arithmetic number, because the mean of its divisors is an integer number (2688021).

Almost surely, 240959840 is an apocalyptic number.

40959840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40959840 is an abundant number, since it is smaller than the sum of its proper divisors (88065168).

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

40959840 is a wasteful number, since it uses less digits than its factorization.

40959840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85351 (or 85343 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 40959840 is about 6399.9874999878. The cubic root of 40959840 is about 344.7091015640.

The spelling of 40959840 in words is "forty million, nine hundred fifty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 85333 170666 255999 341332 426665 511998 682664 853330 1023996 1279995 1365328 1706660 2047992 2559990 2730656 3413320 4095984 5119980 6826640 8191968 10239960 13653280 20479920 40959840