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40144704 = 263375651
BaseRepresentation
bin1001100100100…
…0111101000000
32210112120011220
42121020331000
540234112304
63552235040
7665136645
oct231107500
983476156
1040144704
112072a346
121153ba80
138417682
14548ddcc
1537cead9
hex2648f40

40144704 has 56 divisors (see below), whose sum is σ = 109106208. Its totient is φ = 13017600.

The previous prime is 40144703. The next prime is 40144717. The reversal of 40144704 is 40744104.

It is a super-2 number, since 2×401447042 = 3223194518495232, which contains 22 as substring.

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 (40144703) 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, 4279 + ... + 9929.

Almost surely, 240144704 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 40144704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54553104).

40144704 is an abundant number, since it is smaller than the sum of its proper divisors (68961504).

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

40144704 is a wasteful number, since it uses less digits than its factorization.

40144704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5703 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 40144704 is about 6335.9848484667. The cubic root of 40144704 is about 342.4070936312.

Adding to 40144704 its reverse (40744104), we get a palindrome (80888808).

The spelling of 40144704 in words is "forty million, one hundred forty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 5651 7104 11302 16953 22604 33906 45208 67812 90416 135624 180832 209087 271248 361664 418174 542496 627261 836348 1084992 1254522 1672696 2509044 3345392 5018088 6690784 10036176 13381568 20072352 40144704