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55247616 = 28337993
BaseRepresentation
bin1101001011000…
…0001100000000
310211221212111000
43102300030000
5103120410431
65252052000
71240411524
oct322601400
9124855430
1055247616
1129205396
1216604000
13b5a4ac8
1474a1d84
154cb49e6
hex34b0300

55247616 has 72 divisors (see below), whose sum is σ = 163397360. Its totient is φ = 18413568.

The previous prime is 55247593. The next prime is 55247617. The reversal of 55247616 is 61674255.

It is a happy number.

55247616 is a `hidden beast` number, since 552 + 47 + 61 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (55247617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2916 + ... + 10908.

Almost surely, 255247616 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 55247616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81698680).

55247616 is an abundant number, since it is smaller than the sum of its proper divisors (108149744).

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

55247616 is an equidigital number, since it uses as much as digits as its factorization.

55247616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8018 (or 7998 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 55247616 is about 7432.8740067352. The cubic root of 55247616 is about 380.8651019735.

The spelling of 55247616 in words is "fifty-five million, two hundred forty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 7993 15986 23979 31972 47958 63944 71937 95916 127888 143874 191832 215811 255776 287748 383664 431622 511552 575496 767328 863244 1023104 1150992 1534656 1726488 2046208 2301984 3069312 3452976 4603968 6138624 6905952 9207936 13811904 18415872 27623808 55247616