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484989408 = 253223211347
BaseRepresentation
bin11100111010000…
…101100111100000
31020210121000101200
4130322011213200
51443124130113
6120043001200
715006225201
oct3472054740
91223530350
10484989408
112298447a2
12116509200
137962a9a7
14485a95a8
152c8a0873
hex1ce859e0

484989408 has 144 divisors (see below), whose sum is σ = 1450141056. Its totient is φ = 153457920.

The previous prime is 484989403. The next prime is 484989409. The reversal of 484989408 is 804989484.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484989403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1397491 + ... + 1397837.

It is an arithmetic number, because the mean of its divisors is an integer number (10070424).

Almost surely, 2484989408 is an apocalyptic number.

484989408 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 484989408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725070528).

484989408 is an abundant number, since it is smaller than the sum of its proper divisors (965151648).

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

484989408 is a wasteful number, since it uses less digits than its factorization.

484989408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 484989408 is about 22022.4750652600. The cubic root of 484989408 is about 785.6770811884.

The spelling of 484989408 in words is "four hundred eighty-four million, nine hundred eighty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 211 276 288 347 368 414 422 552 633 694 736 828 844 1041 1104 1266 1388 1656 1688 1899 2082 2208 2532 2776 3123 3312 3376 3798 4164 4853 5064 5552 6246 6624 6752 7596 7981 8328 9706 10128 11104 12492 14559 15192 15962 16656 19412 20256 23943 24984 29118 30384 31924 33312 38824 43677 47886 49968 58236 60768 63848 71829 73217 77648 87354 95772 99936 116472 127696 143658 146434 155296 174708 191544 219651 232944 255392 287316 292868 349416 383088 439302 465888 574632 585736 658953 698832 766176 878604 1149264 1171472 1317906 1397664 1683991 1757208 2298528 2342944 2635812 3367982 3514416 5051973 5271624 6735964 7028832 10103946 10543248 13471928 15155919 20207892 21086496 26943856 30311838 40415784 53887712 60623676 80831568 121247352 161663136 242494704 484989408