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49187960 = 23519611061
BaseRepresentation
bin1011101110100…
…0110001111000
310102120000012022
42323220301320
5100043003320
64514134012
71135043063
oct273506170
9112500168
1049187960
1125846708
1214581308
13a262903
1467658da
1544b9325
hex2ee8c78

49187960 has 64 divisors (see below), whose sum is σ = 118519200. Its totient is φ = 18316800.

The previous prime is 49187951. The next prime is 49187969. The reversal of 49187960 is 6978194.

It is an interprime number because it is at equal distance from previous prime (49187951) and next prime (49187969).

It is a super-3 number, since 3×491879603 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49187969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45830 + ... + 46890.

Almost surely, 249187960 is an apocalyptic number.

49187960 is a gapful number since it is divisible by the number (40) 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 49187960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59259600).

49187960 is an abundant number, since it is smaller than the sum of its proper divisors (69331240).

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

49187960 is a wasteful number, since it uses less digits than its factorization.

49187960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 49187960 is about 7013.4128639344. The cubic root of 49187960 is about 366.3978672734.

The spelling of 49187960 in words is "forty-nine million, one hundred eighty-seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 61 76 95 122 152 190 244 305 380 488 610 760 1061 1159 1220 2122 2318 2440 4244 4636 5305 5795 8488 9272 10610 11590 20159 21220 23180 40318 42440 46360 64721 80636 100795 129442 161272 201590 258884 323605 403180 517768 647210 806360 1229699 1294420 2459398 2588840 4918796 6148495 9837592 12296990 24593980 49187960