Search a number
-
+
49218204 = 22373141461
BaseRepresentation
bin1011101111000…
…0001010011100
310102121112200110
42323300022130
5100044440304
64514530020
71135230210
oct273601234
9112545613
1049218204
1125867402
1214596910
13a2735c9
146772940
1544c3289
hex2ef029c

49218204 has 96 divisors (see below), whose sum is σ = 139087872. Its totient is φ = 13248000.

The previous prime is 49218203. The next prime is 49218233. The reversal of 49218204 is 40281294.

49218204 = T449 + T450 + ... + T727.

49218204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49218203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106534 + ... + 106994.

It is an arithmetic number, because the mean of its divisors is an integer number (1448832).

Almost surely, 249218204 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 49218204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69543936).

49218204 is an abundant number, since it is smaller than the sum of its proper divisors (89869668).

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

49218204 is a wasteful number, since it uses less digits than its factorization.

49218204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 49218204 is about 7015.5686868564. The cubic root of 49218204 is about 366.4729470740.

Adding to 49218204 its reverse (40281294), we get a palindrome (89499498).

The spelling of 49218204 in words is "forty-nine million, two hundred eighteen thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 41 42 62 82 84 93 123 124 164 186 217 246 287 372 434 461 492 574 651 861 868 922 1148 1271 1302 1383 1722 1844 2542 2604 2766 3227 3444 3813 5084 5532 6454 7626 8897 9681 12908 14291 15252 17794 18901 19362 26691 28582 35588 37802 38724 42873 53382 56703 57164 75604 85746 100037 106764 113406 132307 171492 200074 226812 264614 300111 396921 400148 529228 585931 600222 793842 1171862 1200444 1587684 1757793 2343724 3515586 4101517 7031172 8203034 12304551 16406068 24609102 49218204