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1025465664 = 26383229281
BaseRepresentation
bin111101000111110…
…101110101000000
32122110121001102210
4331013311311000
54100004400124
6245431142120
734261212546
oct7507656500
92573531383
101025465664
11486937593
12247514940
131345b5322
149a299d96
1560061a29
hex3d1f5d40

1025465664 has 112 divisors (see below), whose sum is σ = 2767705920. Its totient is φ = 335032320.

The previous prime is 1025465657. The next prime is 1025465681. The reversal of 1025465664 is 4665645201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3649204 + ... + 3649484.

It is an arithmetic number, because the mean of its divisors is an integer number (24711660).

Almost surely, 21025465664 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 1025465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383852960).

1025465664 is an abundant number, since it is smaller than the sum of its proper divisors (1742240256).

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

1025465664 is a wasteful number, since it uses less digits than its factorization.

1025465664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 1025465664 is about 32022.8928112374. The cubic root of 1025465664 is about 1008.4175015292.

The spelling of 1025465664 in words is "one billion, twenty-five million, four hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 229 249 281 332 458 498 562 664 687 843 916 996 1124 1328 1374 1686 1832 1992 2248 2656 2748 3372 3664 3984 4496 5312 5496 6744 7328 7968 8992 10992 13488 14656 15936 17984 19007 21984 23323 26976 38014 43968 46646 53952 57021 64349 69969 76028 93292 114042 128698 139938 152056 186584 193047 228084 257396 279876 304112 373168 386094 456168 514792 559752 608224 746336 772188 912336 1029584 1119504 1216448 1492672 1544376 1824672 2059168 2239008 3088752 3649344 4118336 4478016 5340967 6177504 10681934 12355008 16022901 21363868 32045802 42727736 64091604 85455472 128183208 170910944 256366416 341821888 512732832 1025465664