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4552148448 = 2532103153457
BaseRepresentation
bin1000011110101010…
…00100010111100000
3102202020200002201200
410033111010113200
533310322222243
62031412201200
7220543423551
oct41725042740
912666602650
104552148448
111a26629561
12a70609200
13577134a83
14312802328
151b998ead3
hex10f5445e0

4552148448 has 72 divisors (see below), whose sum is σ = 13070938608. Its totient is φ = 1502641152.

The previous prime is 4552148437. The next prime is 4552148453. The reversal of 4552148448 is 8448412554.

4552148448 is a `hidden beast` number, since 4 + 5 + 521 + 4 + 84 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47065 + ... + 106392.

It is an arithmetic number, because the mean of its divisors is an integer number (181540814).

Almost surely, 24552148448 is an apocalyptic number.

4552148448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4552148448 is an abundant number, since it is smaller than the sum of its proper divisors (8518790160).

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

4552148448 is a wasteful number, since it uses less digits than its factorization.

4552148448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153576 (or 153565 counting only the distinct ones).

The product of its digits is 819200, while the sum is 45.

The square root of 4552148448 is about 67469.6112927887. The cubic root of 4552148448 is about 1657.3165683592.

The spelling of 4552148448 in words is "four billion, five hundred fifty-two million, one hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 824 927 1236 1648 1854 2472 3296 3708 4944 7416 9888 14832 29664 153457 306914 460371 613828 920742 1227656 1381113 1841484 2455312 2762226 3682968 4910624 5524452 7365936 11048904 14731872 15806071 22097808 31612142 44195616 47418213 63224284 94836426 126448568 142254639 189672852 252897136 284509278 379345704 505794272 569018556 758691408 1138037112 1517382816 2276074224 4552148448