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49824940 = 22511376121
BaseRepresentation
bin1011111000010…
…0010010101100
310110202100222011
42332010102230
5100223344230
64535531004
71143335134
oct276042254
9113670864
1049824940
1126141240
1214829a64
13a426819
14688dac4
154592e2a
hex2f844ac

49824940 has 48 divisors (see below), whose sum is σ = 117248544. Its totient is φ = 17625600.

The previous prime is 49824919. The next prime is 49824941. The reversal of 49824940 is 4942894.

It is a junction number, because it is equal to n+sod(n) for n = 49824893 and 49824902.

It is not an unprimeable number, because it can be changed into a prime (49824941) 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, 5080 + ... + 11200.

It is an arithmetic number, because the mean of its divisors is an integer number (2442678).

Almost surely, 249824940 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 49824940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58624272).

49824940 is an abundant number, since it is smaller than the sum of its proper divisors (67423604).

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

49824940 is a wasteful number, since it uses less digits than its factorization.

49824940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6178 (or 6176 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 49824940 is about 7058.6783465462. The cubic root of 49824940 is about 367.9726960681.

The spelling of 49824940 in words is "forty-nine million, eight hundred twenty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 4070 6121 8140 12242 24484 30605 61210 67331 122420 134662 226477 269324 336655 452954 673310 905908 1132385 1346620 2264770 2491247 4529540 4982494 9964988 12456235 24912470 49824940