Search a number
-
+
49633980 = 223511157479
BaseRepresentation
bin1011110101010…
…1101010111100
310110101200000120
42331111222330
5100201241410
64531454540
71141611324
oct275255274
9113350016
1049633980
1126020820
1214757450
13a38a926
146840284
154556570
hex2f55abc

49633980 has 96 divisors (see below), whose sum is σ = 152893440. Its totient is φ = 11930880.

The previous prime is 49633979. The next prime is 49634029. The reversal of 49633980 is 8933694.

It is a super-4 number, since 4×496339804 (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103381 + ... + 103859.

It is an arithmetic number, because the mean of its divisors is an integer number (1592640).

Almost surely, 249633980 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 49633980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76446720).

49633980 is an abundant number, since it is smaller than the sum of its proper divisors (103259460).

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

49633980 is a wasteful number, since it uses less digits than its factorization.

49633980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 49633980 is about 7045.1387495208. The cubic root of 49633980 is about 367.5019945285.

The spelling of 49633980 in words is "forty-nine million, six hundred thirty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 157 165 220 314 330 471 479 628 660 785 942 958 1437 1570 1727 1884 1916 2355 2395 2874 3140 3454 4710 4790 5181 5269 5748 6908 7185 8635 9420 9580 10362 10538 14370 15807 17270 20724 21076 25905 26345 28740 31614 34540 51810 52690 63228 75203 79035 103620 105380 150406 158070 225609 300812 316140 376015 451218 752030 827233 902436 1128045 1504060 1654466 2256090 2481699 3308932 4136165 4512180 4963398 8272330 9926796 12408495 16544660 24816990 49633980