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49668840 = 233251310613
BaseRepresentation
bin1011110101111…
…0001011101000
310110110102211200
42331132023220
5100203400330
64532324200
71142115054
oct275361350
9113412750
1049668840
1126044a31
1214773660
13a3a0760
14684cc64
154561a60
hex2f5e2e8

49668840 has 96 divisors (see below), whose sum is σ = 173857320. Its totient is φ = 12225024.

The previous prime is 49668833. The next prime is 49668841. The reversal of 49668840 is 4886694.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45724644 + 3944196 = 6762^2 + 1986^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (49668841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 627 + ... + 9986.

Almost surely, 249668840 is an apocalyptic number.

49668840 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 49668840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86928660).

49668840 is an abundant number, since it is smaller than the sum of its proper divisors (124188480).

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

49668840 is a wasteful number, since it uses less digits than its factorization.

49668840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10643 (or 10636 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 49668840 is about 7047.6123616442. The cubic root of 49668840 is about 367.5880116847.

The spelling of 49668840 in words is "forty-nine million, six hundred sixty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 10613 21226 31839 42452 53065 63678 84904 95517 106130 127356 137969 159195 191034 212260 254712 275938 318390 382068 413907 424520 477585 551876 636780 689845 764136 827814 955170 1103752 1241721 1273560 1379690 1655628 1910340 2069535 2483442 2759380 3311256 3820680 4139070 4966884 5518760 6208605 8278140 9933768 12417210 16556280 24834420 49668840