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55761930 = 23257611451
BaseRepresentation
bin1101010010110…
…1110000001010
310212220222222200
43110231300022
5103233340210
65311101030
71244653140
oct324556012
9125828880
1055761930
1129526844
1216811776
13b724c33
147597590
154d670c0
hex352dc0a

55761930 has 96 divisors (see below), whose sum is σ = 168524928. Its totient is φ = 12528000.

The previous prime is 55761929. The next prime is 55761931. The reversal of 55761930 is 3916755.

It is a happy number.

55761930 is a `hidden beast` number, since 5 + 5 + 7 + 619 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (55761929) and next prime (55761931).

It is not an unprimeable number, because it can be changed into a prime (55761931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37705 + ... + 39155.

It is an arithmetic number, because the mean of its divisors is an integer number (1755468).

Almost surely, 255761930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55761930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84262464).

55761930 is an abundant number, since it is smaller than the sum of its proper divisors (112762998).

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

55761930 is a wasteful number, since it uses less digits than its factorization.

55761930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 55761930 is about 7467.3911106892. The cubic root of 55761930 is about 382.0433098744.

The spelling of 55761930 in words is "fifty-five million, seven hundred sixty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 61 63 70 90 105 122 126 183 210 305 315 366 427 549 610 630 854 915 1098 1281 1451 1830 2135 2562 2745 2902 3843 4270 4353 5490 6405 7255 7686 8706 10157 12810 13059 14510 19215 20314 21765 26118 30471 38430 43530 50785 60942 65295 88511 91413 101570 130590 152355 177022 182826 265533 304710 442555 457065 531066 619577 796599 885110 914130 1239154 1327665 1593198 1858731 2655330 3097885 3717462 3982995 5576193 6195770 7965990 9293655 11152386 18587310 27880965 55761930