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40381152 = 253760091
BaseRepresentation
bin1001101000001…
…0101011100000
32210222120112020
42122002223200
540314144102
64001301440
71000143210
oct232025340
983876466
1040381152
1120880a59
1211634880
13849b196
145512240
153829bbc
hex2682ae0

40381152 has 48 divisors (see below), whose sum is σ = 121145472. Its totient is φ = 11537280.

The previous prime is 40381139. The next prime is 40381157. The reversal of 40381152 is 25118304.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40381157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29374 + ... + 30717.

It is an arithmetic number, because the mean of its divisors is an integer number (2523864).

Almost surely, 240381152 is an apocalyptic number.

40381152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40381152 is an abundant number, since it is smaller than the sum of its proper divisors (80764320).

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

40381152 is a wasteful number, since it uses less digits than its factorization.

40381152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60111 (or 60103 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 40381152 is about 6354.6165895355. The cubic root of 40381152 is about 343.0780251286.

Adding to 40381152 its reverse (25118304), we get a palindrome (65499456).

The spelling of 40381152 in words is "forty million, three hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 60091 120182 180273 240364 360546 420637 480728 721092 841274 961456 1261911 1442184 1682548 1922912 2523822 2884368 3365096 5047644 5768736 6730192 10095288 13460384 20190576 40381152