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1918465248 = 25372617661
BaseRepresentation
bin111001001011001…
…0111010011100000
311221200221010120110
41302112113103200
512412111341443
6514211211320
765353454100
oct16226272340
94850833513
101918465248
118a4a18377
124565a6b40
132475ca54b
14142b13200
15b3659233
hex725974e0

1918465248 has 144 divisors (see below), whose sum is σ = 5876542224. Its totient is φ = 546416640.

The previous prime is 1918465247. The next prime is 1918465261. The reversal of 1918465248 is 8425648191.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1918465197 and 1918465206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1918465243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2902038 + ... + 2902698.

It is an arithmetic number, because the mean of its divisors is an integer number (40809321).

Almost surely, 21918465248 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 1918465248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938271112).

1918465248 is an abundant number, since it is smaller than the sum of its proper divisors (3958076976).

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

1918465248 is a wasteful number, since it uses less digits than its factorization.

1918465248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1290 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The square root of 1918465248 is about 43800.2882182298. The cubic root of 1918465248 is about 1242.5617452619.

The spelling of 1918465248 in words is "one billion, nine hundred eighteen million, four hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 617 661 672 784 1176 1234 1322 1568 1851 1983 2352 2468 2644 3702 3966 4319 4627 4704 4936 5288 7404 7932 8638 9254 9872 10576 12957 13881 14808 15864 17276 18508 19744 21152 25914 27762 29616 30233 31728 32389 34552 37016 51828 55524 59232 60466 63456 64778 69104 74032 90699 97167 103656 111048 120932 129556 138208 148064 181398 194334 207312 222096 241864 259112 362796 388668 407837 414624 444192 483728 518224 725592 777336 815674 967456 1036448 1223511 1451184 1554672 1631348 2447022 2854859 2902368 3109344 3262696 4894044 5709718 6525392 8564577 9788088 11419436 13050784 17129154 19576176 19984013 22838872 34258308 39152352 39968026 45677744 59952039 68516616 79936052 91355488 119904078 137033232 159872104 239808156 274066464 319744208 479616312 639488416 959232624 1918465248