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4453977942 = 234113467521
BaseRepresentation
bin1000010010111101…
…00100111101010110
3102111101221112010000
410021132210331112
533110204243232
62013544112130
7215242121301
oct41136447526
912441845100
104453977942
111986177607
12a43765646
1355c9b1c0b
14303769b38
151b104c27c
hex1097a4f56

4453977942 has 80 divisors (see below), whose sum is σ = 10109457072. Its totient is φ = 1465551360.

The previous prime is 4453977937. The next prime is 4453977943. The reversal of 4453977942 is 2497793544.

4453977942 is a `hidden beast` number, since 445 + 3 + 97 + 79 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4453977943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8548642 + ... + 8549162.

Almost surely, 24453977942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4453977942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054728536).

4453977942 is an abundant number, since it is smaller than the sum of its proper divisors (5655479130).

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

4453977942 is a wasteful number, since it uses less digits than its factorization.

4453977942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1106 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 4453977942 is about 66738.1295962061. The cubic root of 4453977942 is about 1645.3161246712.

The spelling of 4453977942 in words is "four billion, four hundred fifty-three million, nine hundred seventy-seven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 339 467 521 678 934 1017 1042 1401 1563 2034 2802 3051 3126 4203 4689 6102 8406 9153 9378 12609 14067 18306 25218 28134 37827 42201 52771 58873 75654 84402 105542 117746 158313 176619 243307 316626 353238 474939 486614 529857 729921 949878 1059714 1424817 1459842 1589571 2189763 2849634 3179142 4274451 4379526 4768713 6569289 8548902 9537426 13138578 19707867 27493691 39415734 54987382 82481073 164962146 247443219 494886438 742329657 1484659314 2226988971 4453977942