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49687296 = 283312087
BaseRepresentation
bin1011110110001…
…0101100000000
310110111101011020
42331202230000
5100204443141
64532545440
71142222631
oct275425400
9113441136
1049687296
112605788a
1214782280
13a3a8c89
146855888
154567266
hex2f62b00

49687296 has 72 divisors (see below), whose sum is σ = 136571904. Its totient is φ = 16020480.

The previous prime is 49687283. The next prime is 49687307. The reversal of 49687296 is 69278694.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22765 + ... + 24851.

It is an arithmetic number, because the mean of its divisors is an integer number (1896832).

Almost surely, 249687296 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 49687296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68285952).

49687296 is an abundant number, since it is smaller than the sum of its proper divisors (86884608).

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

49687296 is a wasteful number, since it uses less digits than its factorization.

49687296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2123 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 49687296 is about 7048.9216196522. The cubic root of 49687296 is about 367.6335356271.

The spelling of 49687296 in words is "forty-nine million, six hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2087 2976 3968 4174 5952 6261 7936 8348 11904 12522 16696 23808 25044 33392 50088 64697 66784 100176 129394 133568 194091 200352 258788 267136 388182 400704 517576 534272 776364 801408 1035152 1552728 1602816 2070304 3105456 4140608 6210912 8281216 12421824 16562432 24843648 49687296