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40719492 = 223211312107
BaseRepresentation
bin1001101101010…
…1010010000100
32211121202122100
42123111102010
540411010432
64012432100
71003052502
oct233252204
984552570
1040719492
1120a92180
1211778630
138589198
14559d672
15389507c
hex26d5484

40719492 has 108 divisors (see below), whose sum is σ = 117110448. Its totient is φ = 11829600.

The previous prime is 40719439. The next prime is 40719493. The reversal of 40719492 is 29491704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40719493) 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 35 ways as a sum of consecutive naturals, for example, 380503 + ... + 380609.

It is an arithmetic number, because the mean of its divisors is an integer number (1084356).

Almost surely, 240719492 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 40719492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58555224).

40719492 is an abundant number, since it is smaller than the sum of its proper divisors (76390956).

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

40719492 is a wasteful number, since it uses less digits than its factorization.

40719492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 40719492 is about 6381.1826490079. The cubic root of 40719492 is about 344.0335396359.

The spelling of 40719492 in words is "forty million, seven hundred nineteen thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 107 124 132 186 198 214 279 321 341 372 396 428 558 642 682 961 963 1023 1116 1177 1284 1364 1922 1926 2046 2354 2883 3069 3317 3531 3844 3852 4092 4708 5766 6138 6634 7062 8649 9951 10571 10593 11532 12276 13268 14124 17298 19902 21142 21186 29853 31713 34596 36487 39804 42284 42372 59706 63426 72974 95139 102827 109461 119412 126852 145948 190278 205654 218922 308481 328383 380556 411308 437844 616962 656766 925443 1131097 1233924 1313532 1850886 2262194 3393291 3701772 4524388 6786582 10179873 13573164 20359746 40719492