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40196844 = 2233477919
BaseRepresentation
bin1001100101010…
…1101011101100
32210122012201000
42121111223230
540242244334
63553320300
7665444652
oct231255354
983565630
1040196844
1120765536
1211566090
13843531c
1454a4dd2
1537e0299
hex2655aec

40196844 has 48 divisors (see below), whose sum is σ = 106444800. Its totient is φ = 13112208.

The previous prime is 40196833. The next prime is 40196861. The reversal of 40196844 is 44869104.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 40196799 and 40196808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117 + ... + 9035.

It is an arithmetic number, because the mean of its divisors is an integer number (2217600).

Almost surely, 240196844 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 40196844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).

40196844 is an abundant number, since it is smaller than the sum of its proper divisors (66247956).

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

40196844 is a wasteful number, since it uses less digits than its factorization.

40196844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7979 (or 7971 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 40196844 is about 6340.0981064965. The cubic root of 40196844 is about 342.5552691101. Note that the first 3 decimals are identical.

The spelling of 40196844 in words is "forty million, one hundred ninety-six thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 5076 7919 15838 23757 31676 47514 71271 95028 142542 213813 285084 372193 427626 744386 855252 1116579 1488772 2233158 3349737 4466316 6699474 10049211 13398948 20098422 40196844