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1406771248 = 24196137549
BaseRepresentation
bin101001111011001…
…1010000000110000
310122001002101100211
41103312122000300
510340113134443
6351331553504
746601233621
oct12366320060
93561071324
101406771248
116620a4073
1233315b894
131955ac82c
14d4b95a48
158378119d
hex53d9a030

1406771248 has 40 divisors (see below), whose sum is σ = 2874134000. Its totient is φ = 665190144.

The previous prime is 1406771243. The next prime is 1406771251. The reversal of 1406771248 is 8421776041.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1406771248.

It is not an unprimeable number, because it can be changed into a prime (1406771243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182578 + ... + 190126.

It is an arithmetic number, because the mean of its divisors is an integer number (71853350).

Almost surely, 21406771248 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 1406771248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437067000).

1406771248 is an abundant number, since it is smaller than the sum of its proper divisors (1467362752).

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

1406771248 is a wasteful number, since it uses less digits than its factorization.

1406771248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8189 (or 8183 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 1406771248 is about 37506.9493294243. The cubic root of 1406771248 is about 1120.4895946218.

The spelling of 1406771248 in words is "one billion, four hundred six million, seven hundred seventy-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 613 1226 2452 4904 7549 9808 11647 15098 23294 30196 46588 60392 93176 120784 143431 186352 286862 573724 1147448 2294896 4627537 9255074 18510148 37020296 74040592 87923203 175846406 351692812 703385624 1406771248