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1053047248 = 241153791429
BaseRepresentation
bin111110110001000…
…011100111010000
32201101111100020221
4332301003213100
54124040002443
6252254242424
735044516411
oct7661034720
92641440227
101053047248
114a0465a90
122547b6414
1313a2215a6
149dbd9808
15626adeed
hex3ec439d0

1053047248 has 80 divisors (see below), whose sum is σ = 2298067200. Its totient is φ = 463357440.

The previous prime is 1053047231. The next prime is 1053047263. The reversal of 1053047248 is 8427403501.

1053047248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10530472482 = 2217817013040747008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 736198 + ... + 737626.

It is an arithmetic number, because the mean of its divisors is an integer number (28725840).

Almost surely, 21053047248 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 1053047248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149033600).

1053047248 is an abundant number, since it is smaller than the sum of its proper divisors (1245019952).

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

1053047248 is a wasteful number, since it uses less digits than its factorization.

1053047248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 1053047248 is about 32450.6894842005. The cubic root of 1053047248 is about 1017.3786490070.

The spelling of 1053047248 in words is "one billion, fifty-three million, forty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 53 79 88 106 158 176 212 316 424 583 632 848 869 1166 1264 1429 1738 2332 2858 3476 4187 4664 5716 6952 8374 9328 11432 13904 15719 16748 22864 31438 33496 46057 62876 66992 75737 92114 112891 125752 151474 184228 225782 251504 302948 368456 451564 605896 736912 833107 903128 1211792 1241801 1666214 1806256 2483602 3332428 4967204 5983223 6664856 9934408 11966446 13329712 19868816 23932892 47865784 65815453 95731568 131630906 263261812 526523624 1053047248