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40406676 = 22323281521
BaseRepresentation
bin1001101000100…
…0111010010100
32211000212112120
42122020322110
540321003201
64002015540
71000310502
oct232107224
984025476
1040406676
1120899152
12116475b0
1384a999b
14551b672
153832536
hex2688e94

40406676 has 48 divisors (see below), whose sum is σ = 98921088. Its totient is φ = 12812800.

The previous prime is 40406659. The next prime is 40406677. The reversal of 40406676 is 67660404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40406677) 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, 77296 + ... + 77816.

It is an arithmetic number, because the mean of its divisors is an integer number (2060856).

Almost surely, 240406676 is an apocalyptic number.

40406676 is a gapful number since it is divisible by the number (46) 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 40406676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49460544).

40406676 is an abundant number, since it is smaller than the sum of its proper divisors (58514412).

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

40406676 is a wasteful number, since it uses less digits than its factorization.

40406676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 40406676 is about 6356.6245759837. The cubic root of 40406676 is about 343.1502938212.

The spelling of 40406676 in words is "forty million, four hundred six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 281 521 562 843 1042 1124 1563 1686 2084 3126 3372 6252 6463 11983 12926 19389 23966 25852 35949 38778 47932 71898 77556 143796 146401 292802 439203 585604 878406 1756812 3367223 6734446 10101669 13468892 20203338 40406676