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40115348 = 22713191577
BaseRepresentation
bin1001100100000…
…1110010010100
32210111001220122
42121001302110
540232142343
63551451112
7664655240
oct231016224
983431818
1040115348
112070a289
1211526a98
1384071c0
145483420
1537c6068
hex2641c94

40115348 has 48 divisors (see below), whose sum is σ = 87005184. Its totient is φ = 15759360.

The previous prime is 40115347. The next prime is 40115351. The reversal of 40115348 is 84351104.

It is a super-2 number, since 2×401153482 = 3218482290322208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40115347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69236 + ... + 69812.

It is an arithmetic number, because the mean of its divisors is an integer number (1812608).

Almost surely, 240115348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40115348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43502592).

40115348 is an abundant number, since it is smaller than the sum of its proper divisors (46889836).

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

40115348 is a wasteful number, since it uses less digits than its factorization.

40115348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 40115348 is about 6333.6678157289. The cubic root of 40115348 is about 342.3236110233.

The spelling of 40115348 in words is "forty million, one hundred fifteen thousand, three hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 191 364 382 577 764 1154 1337 2308 2483 2674 4039 4966 5348 7501 8078 9932 15002 16156 17381 30004 34762 52507 69524 105014 110207 210028 220414 440828 771449 1432691 1542898 2865382 3085796 5730764 10028837 20057674 40115348