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49819640 = 23513149643
BaseRepresentation
bin1011111000001…
…0111111111000
310110202002200212
42332002333320
5100223212030
64535450252
71143313523
oct276027770
9113662625
1049819640
1126138262
1214826988
13a4242a0
14688bbba
154591595
hex2f82ff8

49819640 has 64 divisors (see below), whose sum is σ = 121716000. Its totient is φ = 18243072.

The previous prime is 49819597. The next prime is 49819643. The reversal of 49819640 is 4691894.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49819643) 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, 77159 + ... + 77801.

Almost surely, 249819640 is an apocalyptic number.

49819640 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 49819640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60858000).

49819640 is an abundant number, since it is smaller than the sum of its proper divisors (71896360).

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

49819640 is a wasteful number, since it uses less digits than its factorization.

49819640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 49819640 is about 7058.3029121737. The cubic root of 49819640 is about 367.9596482220.

The spelling of 49819640 in words is "forty-nine million, eight hundred nineteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 149 260 298 520 596 643 745 1192 1286 1490 1937 2572 2980 3215 3874 5144 5960 6430 7748 8359 9685 12860 15496 16718 19370 25720 33436 38740 41795 66872 77480 83590 95807 167180 191614 334360 383228 479035 766456 958070 1245491 1916140 2490982 3832280 4981964 6227455 9963928 12454910 24909820 49819640