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40149396 = 223271071489
BaseRepresentation
bin1001100100101…
…0000110010100
32210112210121200
42121022012110
540234240041
63552312500
7665156430
oct231120624
983483550
1040149396
1120732921
1211542730
138419851
1454919c0
1537d11b6
hex264a194

40149396 has 72 divisors (see below), whose sum is σ = 117149760. Its totient is φ = 11356416.

The previous prime is 40149383. The next prime is 40149397. The reversal of 40149396 is 69394104.

It is a super-2 number, since 2×401493962 = 3223947998329632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40149396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40149397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26220 + ... + 27708.

It is an arithmetic number, because the mean of its divisors is an integer number (1627080).

Almost surely, 240149396 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 40149396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58574880).

40149396 is an abundant number, since it is smaller than the sum of its proper divisors (77000364).

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

40149396 is a wasteful number, since it uses less digits than its factorization.

40149396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 40149396 is about 6336.3551036854. The cubic root of 40149396 is about 342.4204329707.

The spelling of 40149396 in words is "forty million, one hundred forty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 252 321 428 642 749 963 1284 1489 1498 1926 2247 2978 2996 3852 4467 4494 5956 6741 8934 8988 10423 13401 13482 17868 20846 26802 26964 31269 41692 53604 62538 93807 125076 159323 187614 318646 375228 477969 637292 955938 1115261 1433907 1911876 2230522 2867814 3345783 4461044 5735628 6691566 10037349 13383132 20074698 40149396