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40792224 = 2531138629
BaseRepresentation
bin1001101110011…
…1000010100000
32211202110102010
42123213002200
540420322344
64014152520
71003504524
oct233470240
984673363
1040792224
1121031890
12117b2740
1385b3315
1455bbd84
1538ab8b9
hex26e70a0

40792224 has 48 divisors (see below), whose sum is σ = 116817120. Its totient is φ = 12360960.

The previous prime is 40792159. The next prime is 40792237. The reversal of 40792224 is 42229704.

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

It is a junction number, because it is equal to n+sod(n) for n = 40792191 and 40792200.

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, 18259 + ... + 20370.

It is an arithmetic number, because the mean of its divisors is an integer number (2433690).

Almost surely, 240792224 is an apocalyptic number.

40792224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40792224 is an abundant number, since it is smaller than the sum of its proper divisors (76024896).

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

40792224 is a wasteful number, since it uses less digits than its factorization.

40792224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38653 (or 38645 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 40792224 is about 6386.8790500525. The cubic root of 40792224 is about 344.2382521125.

The spelling of 40792224 in words is "forty million, seven hundred ninety-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 38629 77258 115887 154516 231774 309032 424919 463548 618064 849838 927096 1236128 1274757 1699676 1854192 2549514 3399352 3708384 5099028 6798704 10198056 13597408 20396112 40792224