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1054825088 = 2743832309
BaseRepresentation
bin111110110111110…
…101101010000000
32201111211122222212
4332313311222000
54130013400323
6252400321252
735065602542
oct7667655200
92644748885
101054825088
114a146a779
12255313228
1313a6c4875
14a013d692
1562910b78
hex3edf5a80

1054825088 has 64 divisors (see below), whose sum is σ = 2177128800. Its totient is φ = 508720128.

The previous prime is 1054825073. The next prime is 1054825111. The reversal of 1054825088 is 8805284501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10548250882 = 2225311932548415488, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 455678 + ... + 457986.

Almost surely, 21054825088 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 1054825088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088564400).

1054825088 is an abundant number, since it is smaller than the sum of its proper divisors (1122303712).

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

1054825088 is an equidigital number, since it uses as much as digits as its factorization.

1054825088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 41.

The square root of 1054825088 is about 32478.0708786714. The cubic root of 1054825088 is about 1017.9508675626.

The spelling of 1054825088 in words is "one billion, fifty-four million, eight hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 4 8 16 32 43 64 83 86 128 166 172 332 344 664 688 1328 1376 2309 2656 2752 3569 4618 5312 5504 7138 9236 10624 14276 18472 28552 36944 57104 73888 99287 114208 147776 191647 198574 228416 295552 383294 397148 456832 766588 794296 1533176 1588592 3066352 3177184 6132704 6354368 8240821 12265408 12708736 16481642 24530816 32963284 65926568 131853136 263706272 527412544 1054825088