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61393024 = 277116229
BaseRepresentation
bin1110101000110…
…0100010000000
311021112002101201
43222030202000
5111204034044
610031510544
71343555260
oct352144200
9137462351
1061393024
1131722540
1218688454
13c947044
1482217a0
1555ca7d4
hex3a8c880

61393024 has 64 divisors (see below), whose sum is σ = 152510400. Its totient is φ = 23915520.

The previous prime is 61393021. The next prime is 61393043. The reversal of 61393024 is 42039316.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 61392983 and 61393001.

It is not an unprimeable number, because it can be changed into a prime (61393021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6742 + ... + 12970.

It is an arithmetic number, because the mean of its divisors is an integer number (2382975).

Almost surely, 261393024 is an apocalyptic number.

61393024 is a gapful number since it is divisible by the number (64) 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 61393024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76255200).

61393024 is an abundant number, since it is smaller than the sum of its proper divisors (91117376).

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

61393024 is a wasteful number, since it uses less digits than its factorization.

61393024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261 (or 6249 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 61393024 is about 7835.3700614585. The cubic root of 61393024 is about 394.4933396035.

The spelling of 61393024 in words is "sixty-one million, three hundred ninety-three thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 6229 9856 12458 24916 43603 49832 68519 87206 99664 137038 174412 199328 274076 348824 398656 479633 548152 697648 797312 959266 1096304 1395296 1918532 2192608 2790592 3837064 4385216 5581184 7674128 8770432 15348256 30696512 61393024