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36442146 = 2313283433
BaseRepresentation
bin1000101100000…
…1000000100010
32112120110020010
42023001000202
533312122041
63341025350
7621516216
oct213010042
975513203
1036442146
1119630584
1210255256
13771c300
144ba8946
1532eca16
hex22c1022

36442146 has 48 divisors (see below), whose sum is σ = 80057376. Its totient is φ = 11052288.

The previous prime is 36442139. The next prime is 36442157. The reversal of 36442146 is 64124463.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83946 + ... + 84378.

It is an arithmetic number, because the mean of its divisors is an integer number (1667862).

Almost surely, 236442146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36442146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40028688).

36442146 is an abundant number, since it is smaller than the sum of its proper divisors (43615230).

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

36442146 is a wasteful number, since it uses less digits than its factorization.

36442146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 534 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 36442146 is about 6036.7330568777. The cubic root of 36442146 is about 331.5390188597.

The spelling of 36442146 in words is "thirty-six million, four hundred forty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 83 166 169 249 338 433 498 507 866 1014 1079 1299 2158 2598 3237 5629 6474 11258 14027 16887 28054 33774 35939 42081 71878 73177 84162 107817 146354 215634 219531 439062 467207 934414 1401621 2803242 6073691 12147382 18221073 36442146