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49060608 = 283127503
BaseRepresentation
bin1011101100100…
…1101100000000
310102022112111120
42323021230000
5100024414413
64511312240
71134002562
oct273115400
9112275446
1049060608
1125769a63
121451b680
13a21995c
146731332
154491723
hex2ec9b00

49060608 has 72 divisors (see below), whose sum is σ = 131862528. Its totient is φ = 16192512.

The previous prime is 49060601. The next prime is 49060699. The reversal of 49060608 is 80606094.

It is not an unprimeable number, because it can be changed into a prime (49060601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97285 + ... + 97787.

It is an arithmetic number, because the mean of its divisors is an integer number (1831424).

Almost surely, 249060608 is an apocalyptic number.

49060608 is a gapful number since it is divisible by the number (48) 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 49060608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65931264).

49060608 is an abundant number, since it is smaller than the sum of its proper divisors (82801920).

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

49060608 is a wasteful number, since it uses less digits than its factorization.

49060608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 49060608 is about 7004.3278050074. The cubic root of 49060608 is about 366.0813817657.

The spelling of 49060608 in words is "forty-nine million, sixty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 503 508 762 768 1006 1016 1509 1524 2012 2032 3018 3048 4024 4064 6036 6096 8048 8128 12072 12192 16096 16256 24144 24384 32192 32512 48288 48768 63881 64384 96576 97536 127762 128768 191643 193152 255524 383286 386304 511048 766572 1022096 1533144 2044192 3066288 4088384 6132576 8176768 12265152 16353536 24530304 49060608