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49938984 = 2333415639
BaseRepresentation
bin1011111010000…
…0001000101000
310110222011102000
42332200020220
5100241021414
64542211000
71144321464
oct276401050
9113864360
1049938984
1126209997
1214883a60
13a4666c4
1468bd4a4
1545b6b09
hex2fa0228

49938984 has 64 divisors (see below), whose sum is σ = 142128000. Its totient is φ = 16237440.

The previous prime is 49938983. The next prime is 49938997. The reversal of 49938984 is 48983994.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 49938984.

It is not an unprimeable number, because it can be changed into a prime (49938983) 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, 6037 + ... + 11675.

It is an arithmetic number, because the mean of its divisors is an integer number (2220750).

Almost surely, 249938984 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 49938984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71064000).

49938984 is an abundant number, since it is smaller than the sum of its proper divisors (92189016).

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

49938984 is a wasteful number, since it uses less digits than its factorization.

49938984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5695 (or 5685 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 49938984 is about 7066.7520120633. The cubic root of 49938984 is about 368.2532322877.

The spelling of 49938984 in words is "forty-nine million, nine hundred thirty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 5639 8856 11278 16917 22556 33834 45112 50751 67668 101502 135336 152253 203004 231199 304506 406008 462398 609012 693597 924796 1218024 1387194 1849592 2080791 2774388 4161582 5548776 6242373 8323164 12484746 16646328 24969492 49938984