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61038208 = 277112563
BaseRepresentation
bin1110100011010…
…1111010000000
311020212001200101
43220311322000
5111111210313
610020132144
71340546650
oct350657200
9136761611
1061038208
11314aaa00
1218537054
13c8516aa
14816c360
15555a5dd
hex3a35e80

61038208 has 96 divisors (see below), whose sum is σ = 153024480. Its totient is φ = 23738880.

The previous prime is 61038191. The next prime is 61038223. The reversal of 61038208 is 80283016.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108135 + ... + 108697.

It is an arithmetic number, because the mean of its divisors is an integer number (1594005).

Almost surely, 261038208 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 61038208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76512240).

61038208 is an abundant number, since it is smaller than the sum of its proper divisors (91986272).

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

61038208 is a wasteful number, since it uses less digits than its factorization.

61038208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 61038208 is about 7812.6953095587. The cubic root of 61038208 is about 393.7318900548.

The spelling of 61038208 in words is "sixty-one million, thirty-eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 308 352 448 484 563 616 704 847 896 968 1126 1232 1408 1694 1936 2252 2464 3388 3872 3941 4504 4928 6193 6776 7744 7882 9008 9856 12386 13552 15488 15764 18016 24772 27104 31528 36032 43351 49544 54208 63056 68123 72064 86702 99088 108416 126112 136246 173404 198176 252224 272492 346808 396352 476861 504448 544984 693616 792704 953722 1089968 1387232 1907444 2179936 2774464 3814888 4359872 5548928 7629776 8719744 15259552 30519104 61038208