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4729920 = 263513379
BaseRepresentation
bin10010000010110001000000
322220022020020
4102002301000
52202324140
6245213440
755126566
oct22026100
98808206
104729920
112740728
121701280
13c97b90
148b1a36
156366d0
hex482c40

4729920 has 112 divisors (see below), whose sum is σ = 16215360. Its totient is φ = 1161216.

The previous prime is 4729919. The next prime is 4729937. The reversal of 4729920 is 299274.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

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, 12291 + ... + 12669.

It is an arithmetic number, because the mean of its divisors is an integer number (144780).

Almost surely, 24729920 is an apocalyptic number.

4729920 is a gapful number since it is divisible by the number (40) 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 4729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8107680).

4729920 is an abundant number, since it is smaller than the sum of its proper divisors (11485440).

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

4729920 is a wasteful number, since it uses less digits than its factorization.

4729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 4729920 is about 2174.8379249958. The cubic root of 4729920 is about 167.8615639612.

The spelling of 4729920 in words is "four million, seven hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 379 390 416 480 520 624 758 780 832 960 1040 1137 1248 1516 1560 1895 2080 2274 2496 3032 3120 3790 4160 4548 4927 5685 6064 6240 7580 9096 9854 11370 12128 12480 14781 15160 18192 19708 22740 24256 24635 29562 30320 36384 39416 45480 49270 59124 60640 72768 73905 78832 90960 98540 118248 121280 147810 157664 181920 197080 236496 295620 315328 363840 394160 472992 591240 788320 945984 1182480 1576640 2364960 4729920