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40612992 = 273729521
BaseRepresentation
bin1001101011101…
…1010010000000
32211102100112220
42122323102000
540344103432
64010251040
71002130140
oct232732200
984370486
1040612992
1120a1a162
1211726a80
13854c874
145572920
15387372c
hex26bb480

40612992 has 128 divisors (see below), whose sum is σ = 127785600. Its totient is φ = 11182080.

The previous prime is 40612987. The next prime is 40612997. The reversal of 40612992 is 29921604.

It is an interprime number because it is at equal distance from previous prime (40612987) and next prime (40612997).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (40612997) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 77692 + ... + 78212.

It is an arithmetic number, because the mean of its divisors is an integer number (998325).

Almost surely, 240612992 is an apocalyptic number.

40612992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40612992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63892800).

40612992 is an abundant number, since it is smaller than the sum of its proper divisors (87172608).

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

40612992 is a wasteful number, since it uses less digits than its factorization.

40612992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 40612992 is about 6372.8323373521. The cubic root of 40612992 is about 343.7333430166.

The spelling of 40612992 in words is "forty million, six hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 336 348 384 406 448 464 521 609 672 696 812 896 928 1042 1218 1344 1392 1563 1624 1856 2084 2436 2688 2784 3126 3248 3647 3712 4168 4872 5568 6252 6496 7294 8336 9744 10941 11136 12504 12992 14588 15109 16672 19488 21882 25008 25984 29176 30218 33344 38976 43764 45327 50016 58352 60436 66688 77952 87528 90654 100032 105763 116704 120872 175056 181308 200064 211526 233408 241744 317289 350112 362616 423052 466816 483488 634578 700224 725232 846104 966976 1269156 1400448 1450464 1692208 1933952 2538312 2900928 3384416 5076624 5801856 6768832 10153248 13537664 20306496 40612992