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1053618328 = 2373141113131
BaseRepresentation
bin111110110011001…
…111000010011000
32201102120100122001
4332303033002120
54124211241303
6252314410344
735052415360
oct7663170230
92642510561
101053618328
114a0816054
12254a309b4
1313a3914c9
149dd079a0
156277331d
hex3eccf098

1053618328 has 128 divisors (see below), whose sum is σ = 2426941440. Its totient is φ = 419328000.

The previous prime is 1053618263. The next prime is 1053618329. The reversal of 1053618328 is 8238163501.

It is a super-2 number, since 2×10536183282 = 2220223162195031168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053618329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8042823 + ... + 8042953.

It is an arithmetic number, because the mean of its divisors is an integer number (18960480).

Almost surely, 21053618328 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 1053618328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213470720).

1053618328 is an abundant number, since it is smaller than the sum of its proper divisors (1373323112).

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

1053618328 is a wasteful number, since it uses less digits than its factorization.

1053618328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 1053618328 is about 32459.4874882522. The cubic root of 1053618328 is about 1017.5625279365.

The spelling of 1053618328 in words is "one billion, fifty-three million, six hundred eighteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 31 41 56 62 82 113 124 131 164 217 226 248 262 287 328 434 452 524 574 791 868 904 917 1048 1148 1271 1582 1736 1834 2296 2542 3164 3503 3668 4061 4633 5084 5371 6328 7006 7336 8122 8897 9266 10168 10742 14012 14803 16244 17794 18532 21484 24521 28024 28427 29606 32431 32488 35588 37064 37597 42968 49042 56854 59212 64862 71176 75194 98084 103621 113708 118424 129724 143623 150388 166501 196168 207242 227416 259448 287246 300776 333002 414484 458893 574492 606923 666004 828968 917786 1005361 1148984 1165507 1213846 1332008 1835572 2010722 2331014 2427692 3212251 3671144 4021444 4248461 4662028 4855384 6424502 8042888 8496922 9324056 12849004 16993844 18814613 25698008 33987688 37629226 75258452 131702291 150516904 263404582 526809164 1053618328