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40703472 = 243519229
BaseRepresentation
bin1001101101000…
…1010111110000
32211120221200000
42123101113300
540410002342
64012230000
71002655005
oct233212760
984527600
1040703472
1120a81137
121176b300
138581ac4
1455978ac
15389044c
hex26d15f0

40703472 has 180 divisors, whose sum is σ = 128976120. Its totient is φ = 12410496.

The previous prime is 40703471. The next prime is 40703473. The reversal of 40703472 is 27430704.

40703472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40703471) and next prime (40703473).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40703471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1403554 + ... + 1403582.

It is an arithmetic number, because the mean of its divisors is an integer number (716534).

Almost surely, 240703472 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 40703472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64488060).

40703472 is an abundant number, since it is smaller than the sum of its proper divisors (88272648).

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

40703472 is a wasteful number, since it uses less digits than its factorization.

40703472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 40703472 is about 6379.9272723127. The cubic root of 40703472 is about 343.9884167724.

The spelling of 40703472 in words is "forty million, seven hundred three thousand, four hundred seventy-two".