[go: up one dir, main page]

Search a number
-
+
4962048 = 28371371
BaseRepresentation
bin10010111011011100000000
3100100002122120
4102323130000
52232241143
6254204240
760114420
oct22733400
910302576
104962048
11288a073
1217b3680
131049730
14932480
15680383
hex4bb700

4962048 has 144 divisors (see below), whose sum is σ = 16482816. Its totient is φ = 1290240.

The previous prime is 4962047. The next prime is 4962049. The reversal of 4962048 is 8402694.

It is an interprime number because it is at equal distance from previous prime (4962047) and next prime (4962049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4962047) 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, 69853 + ... + 69923.

It is an arithmetic number, because the mean of its divisors is an integer number (114464).

Almost surely, 24962048 is an apocalyptic number.

4962048 is a gapful number since it is divisible by the number (48) 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 4962048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241408).

4962048 is an abundant number, since it is smaller than the sum of its proper divisors (11520768).

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

4962048 is a wasteful number, since it uses less digits than its factorization.

4962048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4962048 is about 2227.5654872528. The cubic root of 4962048 is about 170.5638486601.

The spelling of 4962048 in words is "four million, nine hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 71 78 84 91 96 104 112 128 142 156 168 182 192 208 213 224 256 273 284 312 336 364 384 416 426 448 497 546 568 624 672 728 768 832 852 896 923 994 1092 1136 1248 1344 1456 1491 1664 1704 1792 1846 1988 2184 2272 2496 2688 2769 2912 2982 3328 3408 3692 3976 4368 4544 4992 5376 5538 5824 5964 6461 6816 7384 7952 8736 9088 9984 11076 11648 11928 12922 13632 14768 15904 17472 18176 19383 22152 23296 23856 25844 27264 29536 31808 34944 38766 44304 47712 51688 54528 59072 63616 69888 77532 88608 95424 103376 118144 127232 155064 177216 190848 206752 236288 310128 354432 381696 413504 620256 708864 827008 1240512 1654016 2481024 4962048