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4952064 = 21231331
BaseRepresentation
bin10010111001000000000000
3100022120221210
4102321000000
52231431224
6254050120
760043335
oct22710000
910276853
104952064
112882617
1217a9940
131045020
1492c98c
1567c429
hex4b9000

4952064 has 104 divisors (see below), whose sum is σ = 14678272. Its totient is φ = 1474560.

The previous prime is 4952023. The next prime is 4952071. The reversal of 4952064 is 4602594.

It is a tau number, because it is divible by the number of its divisors (104).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159729 + ... + 159759.

Almost surely, 24952064 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 4952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7339136).

4952064 is an abundant number, since it is smaller than the sum of its proper divisors (9726208).

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

4952064 is a wasteful number, since it uses less digits than its factorization.

4952064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4952064 is about 2225.3233472914. The cubic root of 4952064 is about 170.4493762440.

The spelling of 4952064 in words is "four million, nine hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 256 312 372 384 403 416 496 512 624 744 768 806 832 992 1024 1209 1248 1488 1536 1612 1664 1984 2048 2418 2496 2976 3072 3224 3328 3968 4096 4836 4992 5952 6144 6448 6656 7936 9672 9984 11904 12288 12896 13312 15872 19344 19968 23808 25792 26624 31744 38688 39936 47616 51584 53248 63488 77376 79872 95232 103168 126976 154752 159744 190464 206336 309504 380928 412672 619008 825344 1238016 1650688 2476032 4952064