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61369152 = 26313231069
BaseRepresentation
bin1110101000011…
…0101101000000
311021110212122120
43222012231000
5111202303102
610031204240
71343425545
oct352065500
9137425576
1061369152
1131706609
1218676680
13c939210
148216bcc
1555c36bc
hex3a86b40

61369152 has 112 divisors (see below), whose sum is σ = 182636160. Its totient is φ = 18044928.

The previous prime is 61369141. The next prime is 61369211. The reversal of 61369152 is 25196316.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56874 + ... + 57942.

It is an arithmetic number, because the mean of its divisors is an integer number (1630680).

Almost surely, 261369152 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 61369152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91318080).

61369152 is an abundant number, since it is smaller than the sum of its proper divisors (121267008).

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

61369152 is a wasteful number, since it uses less digits than its factorization.

61369152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1110 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 61369152 is about 7833.8465647471. The cubic root of 61369152 is about 394.4422015140.

The spelling of 61369152 in words is "sixty-one million, three hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 138 156 184 192 208 276 299 312 368 416 552 598 624 736 832 897 1069 1104 1196 1248 1472 1794 2138 2208 2392 2496 3207 3588 4276 4416 4784 6414 7176 8552 9568 12828 13897 14352 17104 19136 24587 25656 27794 28704 34208 41691 49174 51312 55588 57408 68416 73761 83382 98348 102624 111176 147522 166764 196696 205248 222352 295044 319631 333528 393392 444704 590088 639262 667056 786784 889408 958893 1180176 1278524 1334112 1573568 1917786 2360352 2557048 2668224 3835572 4720704 5114096 7671144 10228192 15342288 20456384 30684576 61369152