Search a number
-
+
49961856 = 273718587
BaseRepresentation
bin1011111010010…
…1101110000000
310111000022210010
42332211232000
5100242234411
64542504520
71144445250
oct276455600
9114008703
1049961856
112622509a
1214895140
13a473c39
1468c7960
1545bd7a6
hex2fa5b80

49961856 has 64 divisors (see below), whose sum is σ = 151678080. Its totient is φ = 14274048.

The previous prime is 49961843. The next prime is 49961897. The reversal of 49961856 is 65816994.

49961856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6606 + ... + 11981.

It is an arithmetic number, because the mean of its divisors is an integer number (2369970).

Almost surely, 249961856 is an apocalyptic number.

It is an amenable number.

49961856 is an abundant number, since it is smaller than the sum of its proper divisors (101716224).

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

49961856 is a wasteful number, since it uses less digits than its factorization.

49961856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18611 (or 18599 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 49961856 is about 7068.3701091553. The cubic root of 49961856 is about 368.3094435661.

The spelling of 49961856 in words is "forty-nine million, nine hundred sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 18587 37174 55761 74348 111522 130109 148696 223044 260218 297392 390327 446088 520436 594784 780654 892176 1040872 1189568 1561308 1784352 2081744 2379136 3122616 3568704 4163488 6245232 7137408 8326976 12490464 16653952 24980928 49961856