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61389972 = 22327594129
BaseRepresentation
bin1110101000101…
…1110010010100
311021111221012200
43222023302110
5111203434342
610031444500
71343543340
oct352136224
9137457180
1061389972
1131720216
1218686730
13c945837
148220620
1555c994c
hex3a8bc94

61389972 has 72 divisors (see below), whose sum is σ = 180398400. Its totient is φ = 17238528.

The previous prime is 61389971. The next prime is 61389989. The reversal of 61389972 is 27998316.

61389972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61389971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12804 + ... + 16932.

Almost surely, 261389972 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 61389972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90199200).

61389972 is an abundant number, since it is smaller than the sum of its proper divisors (119008428).

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

61389972 is a wasteful number, since it uses less digits than its factorization.

61389972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4200 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 61389972 is about 7835.1753011659. The cubic root of 61389972 is about 394.4868024133.

It can be divided in two parts, 6138 and 9972, that added together give a triangular number (16110 = T179).

The spelling of 61389972 in words is "sixty-one million, three hundred eighty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1239 1652 2124 2478 3717 4129 4956 7434 8258 12387 14868 16516 24774 28903 37161 49548 57806 74322 86709 115612 148644 173418 243611 260127 346836 487222 520254 730833 974444 1040508 1461666 1705277 2192499 2923332 3410554 4384998 5115831 6821108 8769996 10231662 15347493 20463324 30694986 61389972