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61886052 = 22331737911
BaseRepresentation
bin1110110000010…
…0111001100100
311022110010201000
43230010321210
5111320323202
610050233300
71351010544
oct354047144
9138403630
1061886052
1131a299a8
1218885830
13ca8a587
14830d324
15567691c
hex3b04e64

61886052 has 96 divisors (see below), whose sum is σ = 174666240. Its totient is φ = 18869760.

The previous prime is 61886017. The next prime is 61886053. The reversal of 61886052 is 25068816.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61885998 and 61886016.

It is not an unprimeable number, because it can be changed into a prime (61886053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67477 + ... + 68387.

It is an arithmetic number, because the mean of its divisors is an integer number (1819440).

Almost surely, 261886052 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 61886052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87333120).

61886052 is an abundant number, since it is smaller than the sum of its proper divisors (112780188).

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

61886052 is a wasteful number, since it uses less digits than its factorization.

61886052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 61886052 is about 7866.7688411444. The cubic root of 61886052 is about 395.5465424707.

The spelling of 61886052 in words is "sixty-one million, eight hundred eighty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 37 51 54 68 74 102 108 111 148 153 204 222 306 333 444 459 612 629 666 911 918 999 1258 1332 1822 1836 1887 1998 2516 2733 3644 3774 3996 5466 5661 7548 8199 10932 11322 15487 16398 16983 22644 24597 30974 32796 33707 33966 46461 49194 61948 67414 67932 92922 98388 101121 134828 139383 185844 202242 278766 303363 404484 418149 557532 573019 606726 836298 910089 1146038 1213452 1672596 1719057 1820178 2292076 3438114 3640356 5157171 6876228 10314342 15471513 20628684 30943026 61886052