Search a number
-
+
49487460 = 22351197773
BaseRepresentation
bin1011110011000…
…1111001100100
310110010020000220
42330301321210
5100132044320
64524404340
71140431211
oct274617144
9113106026
1049487460
1125a30730
12146a66b0
13a339029
146802b08
154527e40
hex2f31e64

49487460 has 96 divisors (see below), whose sum is σ = 152917632. Its totient is φ = 11857920.

The previous prime is 49487447. The next prime is 49487461. The reversal of 49487460 is 6478494.

49487460 = T187 + T188 + ... + T671.

It is not an unprimeable number, because it can be changed into a prime (49487461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63634 + ... + 64406.

It is an arithmetic number, because the mean of its divisors is an integer number (1592892).

Almost surely, 249487460 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 49487460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76458816).

49487460 is an abundant number, since it is smaller than the sum of its proper divisors (103430172).

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

49487460 is a wasteful number, since it uses less digits than its factorization.

49487460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 49487460 is about 7034.7324042923. The cubic root of 49487460 is about 367.1400149308.

The spelling of 49487460 in words is "forty-nine million, four hundred eighty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 132 165 194 220 291 330 388 485 582 660 773 970 1067 1164 1455 1546 1940 2134 2319 2910 3092 3201 3865 4268 4638 5335 5820 6402 7730 8503 9276 10670 11595 12804 15460 16005 17006 21340 23190 25509 32010 34012 42515 46380 51018 64020 74981 85030 102036 127545 149962 170060 224943 255090 299924 374905 449886 510180 749810 824791 899772 1124715 1499620 1649582 2249430 2474373 3299164 4123955 4498860 4948746 8247910 9897492 12371865 16495820 24743730 49487460