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4906272 = 25373149
BaseRepresentation
bin10010101101110100100000
3100020021010210
4102231310200
52224000042
6253054120
756463000
oct22556440
910207123
104906272
112851178
121787340
13102a227
1491a000
1566da9c
hex4add20

4906272 has 96 divisors (see below), whose sum is σ = 15120000. Its totient is φ = 1392384.

The previous prime is 4906267. The next prime is 4906273. The reversal of 4906272 is 2726094.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4906273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32854 + ... + 33002.

It is an arithmetic number, because the mean of its divisors is an integer number (157500).

Almost surely, 24906272 is an apocalyptic number.

4906272 is a gapful number since it is divisible by the number (42) 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 4906272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560000).

4906272 is an abundant number, since it is smaller than the sum of its proper divisors (10213728).

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

4906272 is a wasteful number, since it uses less digits than its factorization.

4906272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4906272 is about 2215.0106094554. The cubic root of 4906272 is about 169.9223636273.

The spelling of 4906272 in words is "four million, nine hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 149 168 196 224 294 298 336 343 392 447 588 596 672 686 784 894 1029 1043 1176 1192 1372 1568 1788 2058 2086 2352 2384 2744 3129 3576 4116 4172 4704 4768 5488 6258 7152 7301 8232 8344 10976 12516 14304 14602 16464 16688 21903 25032 29204 32928 33376 43806 50064 51107 58408 87612 100128 102214 116816 153321 175224 204428 233632 306642 350448 408856 613284 700896 817712 1226568 1635424 2453136 4906272