Search a number
-
+
49873936 = 24719231019
BaseRepresentation
bin1011111001000…
…0010000010000
310110211212011211
42332100100100
5100231431221
64540545504
71143631030
oct276202020
9113755154
1049873936
1126175032
1214852294
13a442c08
1468a38c0
1545a26e1
hex2f90410

49873936 has 80 divisors (see below), whose sum is σ = 121420800. Its totient is φ = 19350144.

The previous prime is 49873921. The next prime is 49873949. The reversal of 49873936 is 63937894.

It is a self number, because there is not a number n which added to its sum of digits gives 49873936.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48435 + ... + 49453.

It is an arithmetic number, because the mean of its divisors is an integer number (1517760).

Almost surely, 249873936 is an apocalyptic number.

49873936 is a gapful number since it is divisible by the number (46) 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 49873936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60710400).

49873936 is an abundant number, since it is smaller than the sum of its proper divisors (71546864).

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

49873936 is a wasteful number, since it uses less digits than its factorization.

49873936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1070 counting only the distinct ones).

The product of its digits is 979776, while the sum is 49.

The square root of 49873936 is about 7062.1481151276. The cubic root of 49873936 is about 368.0932734583.

The spelling of 49873936 in words is "forty-nine million, eight hundred seventy-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 23 28 38 46 56 76 92 112 133 152 161 184 266 304 322 368 437 532 644 874 1019 1064 1288 1748 2038 2128 2576 3059 3496 4076 6118 6992 7133 8152 12236 14266 16304 19361 23437 24472 28532 38722 46874 48944 57064 77444 93748 114128 135527 154888 164059 187496 271054 309776 328118 374992 445303 542108 656236 890606 1084216 1312472 1781212 2168432 2624944 3117121 3562424 6234242 7124848 12468484 24936968 49873936