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61363872 = 253371023
BaseRepresentation
bin1110101000010…
…1011010100000
311021110121102000
43222011122200
5111202120442
610031124000
71343404263
oct352053240
9137417360
1061363872
1131702649
1218673600
13c9369ab
148214cda
1555c1d4c
hex3a856a0

61363872 has 48 divisors (see below), whose sum is σ = 178980480. Its totient is φ = 20454336.

The previous prime is 61363853. The next prime is 61363879. The reversal of 61363872 is 27836316.

It is a happy number.

61363872 is a `hidden beast` number, since 6 + 13 + 638 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 (61363879) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 34648 + ... + 36375.

It is an arithmetic number, because the mean of its divisors is an integer number (3728760).

Almost surely, 261363872 is an apocalyptic number.

It is an amenable number.

61363872 is an abundant number, since it is smaller than the sum of its proper divisors (117616608).

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

61363872 is a wasteful number, since it uses less digits than its factorization.

61363872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71042 (or 71028 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 61363872 is about 7833.5095583014. The cubic root of 61363872 is about 394.4308890196.

The spelling of 61363872 in words is "sixty-one million, three hundred sixty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 71023 142046 213069 284092 426138 568184 639207 852276 1136368 1278414 1704552 1917621 2272736 2556828 3409104 3835242 5113656 6818208 7670484 10227312 15340968 20454624 30681936 61363872