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61871392 = 25111371283
BaseRepresentation
bin1110110000000…
…1010100100000
311022102101121001
43230001110200
5111314341032
610050041344
71350620032
oct354012440
9138371531
1061871392
1131a19990
1218879254
13ca839bb
148307c52
1556723e7
hex3b01520

61871392 has 48 divisors (see below), whose sum is σ = 133957152. Its totient is φ = 27896320.

The previous prime is 61871387. The next prime is 61871393. The reversal of 61871392 is 29317816.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61871393) 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, 47583 + ... + 48865.

It is an arithmetic number, because the mean of its divisors is an integer number (2790774).

Almost surely, 261871392 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 61871392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66978576).

61871392 is an abundant number, since it is smaller than the sum of its proper divisors (72085760).

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

61871392 is a wasteful number, since it uses less digits than its factorization.

61871392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1433 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 61871392 is about 7865.8370183980. The cubic root of 61871392 is about 395.5153067287.

It can be divided in two parts, 618 and 71392, that added together give a triangular number (72010 = T379).

The spelling of 61871392 in words is "sixty-one million, eight hundred seventy-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 137 176 274 352 548 1096 1283 1507 2192 2566 3014 4384 5132 6028 10264 12056 14113 20528 24112 28226 41056 48224 56452 112904 175771 225808 351542 451616 703084 1406168 1933481 2812336 3866962 5624672 7733924 15467848 30935696 61871392