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648074064 = 243112241463
BaseRepresentation
bin100110101000001…
…101001101010000
31200011110120111010
4212220031031100
52311401332224
6144150250520
722026352521
oct4650151520
91604416433
10648074064
11302903700
12161056a40
13a435b4a1
14620dc848
153bd66e29
hex26a0d350

648074064 has 120 divisors (see below), whose sum is σ = 1851853696. Its totient is φ = 195148800.

The previous prime is 648074033. The next prime is 648074083. The reversal of 648074064 is 460470846.

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, 1399497 + ... + 1399959.

Almost surely, 2648074064 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 648074064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925926848).

648074064 is an abundant number, since it is smaller than the sum of its proper divisors (1203779632).

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

648074064 is a wasteful number, since it uses less digits than its factorization.

648074064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 648074064 is about 25457.2988355010. The cubic root of 648074064 is about 865.3827096853.

The spelling of 648074064 in words is "six hundred forty-eight million, seventy-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 241 242 264 363 463 482 484 528 723 726 926 964 968 1389 1446 1452 1852 1928 1936 2651 2778 2892 2904 3704 3856 5093 5302 5556 5784 5808 7408 7953 10186 10604 11112 11568 15279 15906 20372 21208 22224 29161 30558 31812 40744 42416 56023 58322 61116 63624 81488 87483 111583 112046 116644 122232 127248 168069 174966 223166 224092 233288 244464 334749 336138 349932 446332 448184 466576 669498 672276 699864 892664 896368 1227413 1338996 1344552 1399728 1785328 2454826 2677992 2689104 3682239 4909652 5355984 7364478 9819304 13501543 14728956 19638608 27003086 29457912 40504629 54006172 58915824 81009258 108012344 162018516 216024688 324037032 648074064