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61868436 = 223723311033
BaseRepresentation
bin1110110000000…
…0100110010100
311022102020112120
43230000212110
5111314242221
610050015540
71350605310
oct354004624
9138366476
1061868436
1131a17743
12188775b0
13ca82556
148306b40
1556715c6
hex3b00994

61868436 has 96 divisors (see below), whose sum is σ = 177881088. Its totient is φ = 16346880.

The previous prime is 61868419. The next prime is 61868461. The reversal of 61868436 is 63486816.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59376 + ... + 60408.

It is an arithmetic number, because the mean of its divisors is an integer number (1852928).

Almost surely, 261868436 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 61868436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88940544).

61868436 is an abundant number, since it is smaller than the sum of its proper divisors (116012652).

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

61868436 is a wasteful number, since it uses less digits than its factorization.

61868436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1099 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 61868436 is about 7865.6491149809. The cubic root of 61868436 is about 395.5090078463.

The spelling of 61868436 in words is "sixty-one million, eight hundred sixty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 31 42 46 62 69 84 92 93 124 138 161 186 217 276 322 372 434 483 644 651 713 868 966 1033 1302 1426 1932 2066 2139 2604 2852 3099 4132 4278 4991 6198 7231 8556 9982 12396 14462 14973 19964 21693 23759 28924 29946 32023 43386 47518 59892 64046 71277 86772 95036 96069 128092 142554 166313 192138 224161 285108 332626 384276 448322 498939 665252 672483 736529 896644 997878 1344966 1473058 1995756 2209587 2689932 2946116 4419174 5155703 8838348 10311406 15467109 20622812 30934218 61868436