Search a number
-
+
40157780 = 2251321092
BaseRepresentation
bin1001100100110…
…0001001010100
32210120020010012
42121030021110
540240022110
63552415352
7665223035
oct231141124
983506105
1040157780
1120739153
1211547558
138420600
145494a8c
1537d3905
hex264c254

40157780 has 54 divisors (see below), whose sum is σ = 92162826. Its totient is φ = 14691456.

The previous prime is 40157759. The next prime is 40157861. The reversal of 40157780 is 8775104.

It can be written as a sum of positive squares in 9 ways, for example, as 14776336 + 25381444 = 3844^2 + 5038^2 .

It is a super-2 number, since 2×401577802 = 3225294589056800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 368366 + ... + 368474.

It is an arithmetic number, because the mean of its divisors is an integer number (1706719).

Almost surely, 240157780 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 40157780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46081413).

40157780 is an abundant number, since it is smaller than the sum of its proper divisors (52005046).

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

40157780 is a wasteful number, since it uses less digits than its factorization.

40157780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 40157780 is about 6337.0166482344. The cubic root of 40157780 is about 342.4442660656. Note that the first 3 decimals are identical.

The spelling of 40157780 in words is "forty million, one hundred fifty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 169 218 260 338 436 545 676 845 1090 1417 1690 2180 2834 3380 5668 7085 11881 14170 18421 23762 28340 36842 47524 59405 73684 92105 118810 154453 184210 237620 308906 368420 617812 772265 1544530 2007889 3089060 4015778 8031556 10039445 20078890 40157780