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40497792 = 273263401
BaseRepresentation
bin1001101001111…
…1001010000000
32211012111112020
42122133022000
540331412132
64004001440
71001140236
oct232371200
984174466
1040497792
1120950655
1211690280
13850c2ba
145542956
15384e52c
hex269f280

40497792 has 64 divisors (see below), whose sum is σ = 108250560. Its totient is φ = 13414400.

The previous prime is 40497781. The next prime is 40497823. The reversal of 40497792 is 29779404.

It is a tau number, because it is divible by the number of its divisors (64).

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, 100792 + ... + 101192.

It is an arithmetic number, because the mean of its divisors is an integer number (1691415).

Almost surely, 240497792 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 40497792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54125280).

40497792 is an abundant number, since it is smaller than the sum of its proper divisors (67752768).

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

40497792 is a wasteful number, since it uses less digits than its factorization.

40497792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 40497792 is about 6363.7875514508. The cubic root of 40497792 is about 343.4080318401.

The spelling of 40497792 in words is "forty million, four hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 263 384 401 526 789 802 1052 1203 1578 1604 2104 2406 3156 3208 4208 4812 6312 6416 8416 9624 12624 12832 16832 19248 25248 25664 33664 38496 50496 51328 76992 100992 105463 153984 210926 316389 421852 632778 843704 1265556 1687408 2531112 3374816 5062224 6749632 10124448 13499264 20248896 40497792