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61913088 = 211323359
BaseRepresentation
bin1110110000101…
…1100000000000
311022111111210100
43230023200000
5111322204323
610051002400
71351152426
oct354134000
9138444710
1061913088
1131a48246
1218899400
13ca99983
148319116
15567e943
hex3b0b800

61913088 has 72 divisors (see below), whose sum is σ = 178869600. Its totient is φ = 20631552.

The previous prime is 61913081. The next prime is 61913113. The reversal of 61913088 is 88031916.

61913088 is a `hidden beast` number, since 619 + 1 + 30 + 8 + 8 = 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 a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61913081) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16753 + ... + 20111.

It is an arithmetic number, because the mean of its divisors is an integer number (2484300).

Almost surely, 261913088 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 61913088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89434800).

61913088 is an abundant number, since it is smaller than the sum of its proper divisors (116956512).

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

61913088 is a wasteful number, since it uses less digits than its factorization.

61913088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 61913088 is about 7868.4870210225. The cubic root of 61913088 is about 395.6041345509.

The spelling of 61913088 in words is "sixty-one million, nine hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 3359 4608 6144 6718 9216 10077 13436 18432 20154 26872 30231 40308 53744 60462 80616 107488 120924 161232 214976 241848 322464 429952 483696 644928 859904 967392 1289856 1719808 1934784 2579712 3439616 3869568 5159424 6879232 7739136 10318848 15478272 20637696 30956544 61913088