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55060992 = 29337569
BaseRepresentation
bin1101001000001…
…0101000000000
310211121101111000
43102002220000
5103043422432
65244052000
71236003450
oct322025000
9124541430
1055060992
1129098158
1216534000
13b53ab8c
147453d60
154c7957c
hex3482a00

55060992 has 160 divisors (see below), whose sum is σ = 186595200. Its totient is φ = 15704064.

The previous prime is 55060987. The next prime is 55061009. The reversal of 55060992 is 29906055.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96484 + ... + 97052.

It is an arithmetic number, because the mean of its divisors is an integer number (1166220).

Almost surely, 255060992 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 55060992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93297600).

55060992 is an abundant number, since it is smaller than the sum of its proper divisors (131534208).

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

55060992 is an equidigital number, since it uses as much as digits as its factorization.

55060992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 55060992 is about 7420.3094275104. The cubic root of 55060992 is about 380.4357697061.

The spelling of 55060992 in words is "fifty-five million, sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 569 576 672 756 768 864 896 1008 1138 1152 1344 1512 1536 1707 1728 1792 2016 2276 2304 2688 3024 3414 3456 3584 3983 4032 4552 4608 5121 5376 6048 6828 6912 7966 8064 9104 10242 10752 11949 12096 13656 13824 15363 15932 16128 18208 20484 23898 24192 27312 30726 31864 32256 35847 36416 40968 47796 48384 54624 61452 63728 71694 72832 81936 95592 96768 107541 109248 122904 127456 143388 145664 163872 191184 215082 218496 245808 254912 286776 291328 327744 382368 430164 436992 491616 509824 573552 655488 764736 860328 873984 983232 1019648 1147104 1310976 1529472 1720656 1966464 2039296 2294208 2621952 3058944 3441312 3932928 4588416 6117888 6882624 7865856 9176832 13765248 18353664 27530496 55060992