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49370984 = 23133532
BaseRepresentation
bin1011110001010…
…1011101101000
310102220022020222
42330111131220
5100114332414
64522105212
71136434505
oct274253550
9112808228
1049370984
1125961173
121464b208
13a2c8000
1467b24ac
15450368e
hex2f15768

49370984 has 48 divisors (see below), whose sum is σ = 102209100. Its totient is φ = 22356672.

The previous prime is 49370983. The next prime is 49370999. The reversal of 49370984 is 48907394.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 62500 + 49308484 = 250^2 + 7022^2 .

It is a super-2 number, since 2×493709842 = 4874988122256512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49370983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 931502 + ... + 931554.

Almost surely, 249370984 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 49370984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51104550).

49370984 is an abundant number, since it is smaller than the sum of its proper divisors (52838116).

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

49370984 is an equidigital number, since it uses as much as digits as its factorization.

49370984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 49370984 is about 7026.4488897309. The cubic root of 49370984 is about 366.8517493515.

The spelling of 49370984 in words is "forty-nine million, three hundred seventy thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 53 104 106 169 212 338 424 676 689 1352 1378 2197 2756 2809 4394 5512 5618 8788 8957 11236 17576 17914 22472 35828 36517 71656 73034 116441 146068 232882 292136 465764 474721 931528 949442 1898884 3797768 6171373 12342746 24685492 49370984