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39484940 = 225111011777
BaseRepresentation
bin1001011010011…
…1111000001100
32202022001011012
42112213320030
540102004230
63530144352
7656421305
oct226477014
982261135
1039484940
1120319690
12112820b8
138246291
14535b7ac
1536ee395
hex25a7e0c

39484940 has 48 divisors (see below), whose sum is σ = 91403424. Its totient is φ = 14208000.

The previous prime is 39484937. The next prime is 39484943. The reversal of 39484940 is 4948493.

39484940 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 (39484937) and next prime (39484943).

It is a super-3 number, since 3×394849403 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (39484943) 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 15 ways as a sum of consecutive naturals, for example, 21332 + ... + 23108.

It is an arithmetic number, because the mean of its divisors is an integer number (1904238).

Almost surely, 239484940 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 39484940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45701712).

39484940 is an abundant number, since it is smaller than the sum of its proper divisors (51918484).

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

39484940 is a wasteful number, since it uses less digits than its factorization.

39484940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 39484940 is about 6283.7043214970. The cubic root of 39484940 is about 340.5209430488.

It can be divided in two parts, 3948 and 4940, that added together give a palindrome (8888).

The spelling of 39484940 in words is "thirty-nine million, four hundred eighty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 1777 2020 2222 3554 4444 5555 7108 8885 11110 17770 19547 22220 35540 39094 78188 97735 179477 195470 358954 390940 717908 897385 1794770 1974247 3589540 3948494 7896988 9871235 19742470 39484940