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61387812 = 22323167821
BaseRepresentation
bin1110101000101…
…1010000100100
311021111211020200
43222023100210
5111203402222
610031430500
71343534133
oct352132044
9137454220
1061387812
1131719632
1218685430
13c944865
14821d91a
1555c8eac
hex3a8b424

61387812 has 72 divisors (see below), whose sum is σ = 162769152. Its totient is φ = 19483200.

The previous prime is 61387793. The next prime is 61387813. The reversal of 61387812 is 21878316.

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 (61387813) 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 23 ways as a sum of consecutive naturals, for example, 74362 + ... + 75182.

Almost surely, 261387812 is an apocalyptic number.

61387812 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61387812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81384576).

61387812 is an abundant number, since it is smaller than the sum of its proper divisors (101381340).

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

61387812 is a wasteful number, since it uses less digits than its factorization.

61387812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 924 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 61387812 is about 7835.0374600253. The cubic root of 61387812 is about 394.4821756996.

The spelling of 61387812 in words is "sixty-one million, three hundred eighty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 67 93 124 134 186 201 268 279 372 402 558 603 804 821 1116 1206 1642 2077 2412 2463 3284 4154 4926 6231 7389 8308 9852 12462 14778 18693 24924 25451 29556 37386 50902 55007 74772 76353 101804 110014 152706 165021 220028 229059 305412 330042 458118 495063 660084 916236 990126 1705217 1980252 3410434 5115651 6820868 10231302 15346953 20462604 30693906 61387812