Search a number
-
+
4982904 = 2333172359
BaseRepresentation
bin10011000000100001111000
3100101011021000
4103000201320
52233423104
6254445000
760232263
oct23004170
910334230
104982904
1128a3803
121803760
131056084
14939cda
15686639
hex4c0878

4982904 has 128 divisors (see below), whose sum is σ = 15552000. Its totient is φ = 1469952.

The previous prime is 4982903. The next prime is 4982933. The reversal of 4982904 is 4092894.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4982903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84427 + ... + 84485.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

Almost surely, 24982904 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 4982904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776000).

4982904 is an abundant number, since it is smaller than the sum of its proper divisors (10569096).

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

4982904 is a wasteful number, since it uses less digits than its factorization.

4982904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4982904 is about 2232.2419223731. The cubic root of 4982904 is about 170.8024804617.

It can be divided in two parts, 4982 and 904, that added together give a triangular number (5886 = T108).

The spelling of 4982904 in words is "four million, nine hundred eighty-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 27 34 36 46 51 54 59 68 69 72 92 102 108 118 136 138 153 177 184 204 207 216 236 276 306 354 391 408 414 459 472 531 552 612 621 708 782 828 918 1003 1062 1173 1224 1242 1357 1416 1564 1593 1656 1836 2006 2124 2346 2484 2714 3009 3128 3186 3519 3672 4012 4071 4248 4692 4968 5428 6018 6372 7038 8024 8142 9027 9384 10557 10856 12036 12213 12744 14076 16284 18054 21114 23069 24072 24426 27081 28152 32568 36108 36639 42228 46138 48852 54162 69207 72216 73278 84456 92276 97704 108324 138414 146556 184552 207621 216648 276828 293112 415242 553656 622863 830484 1245726 1660968 2491452 4982904