Search a number
-
+
49979072 = 26111343127
BaseRepresentation
bin1011111010100…
…1111011000000
310111001012101202
42332221323000
5100243312242
64543120332
71144546403
oct276517300
9114035352
1049979072
1126237020
12148a30a8
13a47ba20
1468cdd3a
1545c3932
hex2fa9ec0

49979072 has 112 divisors (see below), whose sum is σ = 120164352. Its totient is φ = 20321280.

The previous prime is 49979057. The next prime is 49979081. The reversal of 49979072 is 27097994.

It is a congruent number.

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, 393473 + ... + 393599.

It is an arithmetic number, because the mean of its divisors is an integer number (1072896).

Almost surely, 249979072 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 49979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60082176).

49979072 is an abundant number, since it is smaller than the sum of its proper divisors (70185280).

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

49979072 is a wasteful number, since it uses less digits than its factorization.

49979072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 47.

The square root of 49979072 is about 7069.5878239117. The cubic root of 49979072 is about 368.3517430836.

The spelling of 49979072 in words is "forty-nine million, nine hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 43 44 52 64 86 88 104 127 143 172 176 208 254 286 344 352 416 473 508 559 572 688 704 832 946 1016 1118 1144 1376 1397 1651 1892 2032 2236 2288 2752 2794 3302 3784 4064 4472 4576 5461 5588 6149 6604 7568 8128 8944 9152 10922 11176 12298 13208 15136 17888 18161 21844 22352 24596 26416 30272 35776 36322 43688 44704 49192 52832 60071 70993 72644 87376 89408 98384 105664 120142 141986 145288 174752 196768 240284 283972 290576 349504 393536 480568 567944 581152 780923 961136 1135888 1162304 1561846 1922272 2271776 3123692 3844544 4543552 6247384 12494768 24989536 49979072