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40438752 = 253894733
BaseRepresentation
bin1001101001000…
…0101111100000
32211002111112120
42122100233200
540323020002
64002424240
71000503144
oct232205740
984074476
1040438752
1120910262
1211662080
1384bb473
145529224
15383bcbc
hex2690be0

40438752 has 48 divisors (see below), whose sum is σ = 107367120. Its totient is φ = 13325312.

The previous prime is 40438709. The next prime is 40438813. The reversal of 40438752 is 25783404.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6178 + ... + 10910.

It is an arithmetic number, because the mean of its divisors is an integer number (2236815).

Almost surely, 240438752 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 40438752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53683560).

40438752 is an abundant number, since it is smaller than the sum of its proper divisors (66928368).

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

40438752 is a wasteful number, since it uses less digits than its factorization.

40438752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 40438752 is about 6359.1471126245. The cubic root of 40438752 is about 343.2410707148.

The spelling of 40438752 in words is "forty million, four hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 4733 8544 9466 14199 18932 28398 37864 56796 75728 113592 151456 227184 421237 454368 842474 1263711 1684948 2527422 3369896 5054844 6739792 10109688 13479584 20219376 40438752