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4949952 = 263729127
BaseRepresentation
bin10010111000011111000000
3100022111001120
4102320133000
52231344302
6254032240
760034230
oct22703700
910274046
104949952
112880a77
1217a8680
131044087
1492bcc0
1567b9bc
hex4b87c0

4949952 has 112 divisors (see below), whose sum is σ = 15605760. Its totient is φ = 1354752.

The previous prime is 4949951. The next prime is 4949963. The reversal of 4949952 is 2599494.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 47 + 9 + 47 + 9 + 97 + 55 + 217 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4949951) 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, 38913 + ... + 39039.

Almost surely, 24949952 is an apocalyptic number.

4949952 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 4949952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7802880).

4949952 is an abundant number, since it is smaller than the sum of its proper divisors (10655808).

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

4949952 is a wasteful number, since it uses less digits than its factorization.

4949952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 4949952 is about 2224.8487589047. The cubic root of 4949952 is about 170.4251412132.

The spelling of 4949952 in words is "four million, nine hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 127 168 174 192 203 224 232 254 336 348 381 406 448 464 508 609 672 696 762 812 889 928 1016 1218 1344 1392 1524 1624 1778 1856 2032 2436 2667 2784 3048 3248 3556 3683 4064 4872 5334 5568 6096 6496 7112 7366 8128 9744 10668 11049 12192 12992 14224 14732 19488 21336 22098 24384 25781 28448 29464 38976 42672 44196 51562 56896 58928 77343 85344 88392 103124 117856 154686 170688 176784 206248 235712 309372 353568 412496 618744 707136 824992 1237488 1649984 2474976 4949952