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4984992 = 253219911
BaseRepresentation
bin10011000001000010100000
3100101021010100
4103001002200
52234004432
6254502400
760241335
oct23010240
910337110
104984992
1128a5331
121804a00
131056ccc
1493a98c
1568707c
hex4c10a0

4984992 has 72 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 1572480.

The previous prime is 4984949. The next prime is 4984999. The reversal of 4984992 is 2994894.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×49849923 (a number of 21 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4984999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5017 + ... + 5927.

It is an arithmetic number, because the mean of its divisors is an integer number (207480).

Almost surely, 24984992 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 4984992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

4984992 is an abundant number, since it is smaller than the sum of its proper divisors (9953568).

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

4984992 is a wasteful number, since it uses less digits than its factorization.

4984992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 935 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 4984992 is about 2232.7095646322. The cubic root of 4984992 is about 170.8263344082.

It can be divided in two parts, 498499 and 2, that added together give a triangular number (498501 = T998).

The spelling of 4984992 in words is "four million, nine hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 911 912 1368 1822 1824 2733 2736 3644 5466 5472 7288 8199 10932 14576 16398 17309 21864 29152 32796 34618 43728 51927 65592 69236 87456 103854 131184 138472 155781 207708 262368 276944 311562 415416 553888 623124 830832 1246248 1661664 2492496 4984992