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61988472 = 23327139461
BaseRepresentation
bin1110110001110…
…1111001111000
311022122100012100
43230131321320
5111332112342
610052343400
71351615260
oct354357170
9138570170
1061988472
1131a99947
1218914b60
13cac5090
1483387a0
155696e4c
hex3b1de78

61988472 has 96 divisors (see below), whose sum is σ = 206650080. Its totient is φ = 16346880.

The previous prime is 61988471. The next prime is 61988483. The reversal of 61988472 is 27488916.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61988471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1822 + ... + 11282.

It is an arithmetic number, because the mean of its divisors is an integer number (2152605).

Almost surely, 261988472 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 61988472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103325040).

61988472 is an abundant number, since it is smaller than the sum of its proper divisors (144661608).

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

61988472 is a wasteful number, since it uses less digits than its factorization.

61988472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9493 (or 9486 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 61988472 is about 7873.2758112491. The cubic root of 61988472 is about 395.7646290311.

The spelling of 61988472 in words is "sixty-one million, nine hundred eighty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 9461 18922 28383 37844 56766 66227 75688 85149 113532 122993 132454 170298 198681 227064 245986 264908 340596 368979 397362 491972 529816 596043 681192 737958 794724 860951 983944 1106937 1192086 1475916 1589448 1721902 2213874 2384172 2582853 2951832 3443804 4427748 4768344 5165706 6887608 7748559 8855496 10331412 15497118 20662824 30994236 61988472