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4932096 = 29313219
BaseRepresentation
bin10010110100001000000000
3100021120120020
4102310020000
52230311341
6253413440
756631201
oct22641000
910246506
104932096
112869614
12179a280
131038c00
149255a8
15676566
hex4b4200

4932096 has 120 divisors (see below), whose sum is σ = 14976720. Its totient is φ = 1437696.

The previous prime is 4932089. The next prime is 4932101. The reversal of 4932096 is 6902394.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259575 + ... + 259593.

It is an arithmetic number, because the mean of its divisors is an integer number (124806).

Almost surely, 24932096 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 4932096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488360).

4932096 is an abundant number, since it is smaller than the sum of its proper divisors (10044624).

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

4932096 is a wasteful number, since it uses less digits than its factorization.

4932096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 4932096 is about 2220.8322764225. The cubic root of 4932096 is about 170.2199690001.

The spelling of 4932096 in words is "four million, nine hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 169 192 208 228 247 256 304 312 338 384 416 456 494 507 512 608 624 676 741 768 832 912 988 1014 1216 1248 1352 1482 1536 1664 1824 1976 2028 2432 2496 2704 2964 3211 3328 3648 3952 4056 4864 4992 5408 5928 6422 6656 7296 7904 8112 9633 9728 9984 10816 11856 12844 14592 15808 16224 19266 19968 21632 23712 25688 29184 31616 32448 38532 43264 47424 51376 63232 64896 77064 86528 94848 102752 126464 129792 154128 189696 205504 259584 308256 379392 411008 616512 822016 1233024 1644032 2466048 4932096