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4457454048 = 2532291134723
BaseRepresentation
bin1000010011010111…
…10101100111100000
3102111122111010102200
410021223311213200
533112102012143
62014150413200
7215313506565
oct41153654740
912448433380
104457454048
111988131223
12a44961200
1356062b198
14303dd286c
151b14d71d3
hex109af59e0

4457454048 has 144 divisors (see below), whose sum is σ = 13231829520. Its totient is φ = 1421586432.

The previous prime is 4457454011. The next prime is 4457454061. The reversal of 4457454048 is 8404547544.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4457453994 and 4457454012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941415 + ... + 946137.

It is an arithmetic number, because the mean of its divisors is an integer number (91887705).

Almost surely, 24457454048 is an apocalyptic number.

4457454048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4457454048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6615914760).

4457454048 is an abundant number, since it is smaller than the sum of its proper divisors (8774375472).

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

4457454048 is a wasteful number, since it uses less digits than its factorization.

4457454048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4881 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 1433600, while the sum is 45.

The square root of 4457454048 is about 66764.1673953926. The cubic root of 4457454048 is about 1645.7440422240.

The spelling of 4457454048 in words is "four billion, four hundred fifty-seven million, four hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 113 116 144 174 226 232 261 288 339 348 452 464 522 678 696 904 928 1017 1044 1356 1392 1808 2034 2088 2712 2784 3277 3616 4068 4176 4723 5424 6554 8136 8352 9446 9831 10848 13108 14169 16272 18892 19662 26216 28338 29493 32544 37784 39324 42507 52432 56676 58986 75568 78648 85014 104864 113352 117972 136967 151136 157296 170028 226704 235944 273934 314592 340056 410901 453408 471888 533699 547868 680112 821802 943776 1067398 1095736 1232703 1360224 1601097 1643604 2134796 2191472 2465406 3202194 3287208 4269592 4382944 4803291 4930812 6404388 6574416 8539184 9606582 9861624 12808776 13148832 15477271 17078368 19213164 19723248 25617552 30954542 38426328 39446496 46431813 51235104 61909084 76852656 92863626 123818168 139295439 153705312 185727252 247636336 278590878 371454504 495272672 557181756 742909008 1114363512 1485818016 2228727024 4457454048