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38680746 = 23131731941
BaseRepresentation
bin1001001110001…
…1100010101010
32200210012000020
42103203202222
534400240441
63501021310
7646531566
oct223434252
980705006
1038680746
111a91a465
1210b54836
138024220
1451cc6a6
1535e0e66
hex24e38aa

38680746 has 64 divisors (see below), whose sum is σ = 91155456. Its totient is φ = 10828800.

The previous prime is 38680711. The next prime is 38680757. The reversal of 38680746 is 64708683.

It is a super-2 number, since 2×386807462 = 2992400222233032, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38680698 and 38680707.

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, 40636 + ... + 41576.

It is an arithmetic number, because the mean of its divisors is an integer number (1424304).

Almost surely, 238680746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38680746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45577728).

38680746 is an abundant number, since it is smaller than the sum of its proper divisors (52474710).

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

38680746 is a wasteful number, since it uses less digits than its factorization.

38680746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007.

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 38680746 is about 6219.3846962541. The cubic root of 38680746 is about 338.1932592252.

The spelling of 38680746 in words is "thirty-eight million, six hundred eighty thousand, seven hundred forty-six".

Divisors: 1 2 3 6 13 17 26 31 34 39 51 62 78 93 102 186 221 403 442 527 663 806 941 1054 1209 1326 1581 1882 2418 2823 3162 5646 6851 12233 13702 15997 20553 24466 29171 31994 36699 41106 47991 58342 73398 87513 95982 175026 207961 379223 415922 495907 623883 758446 991814 1137669 1247766 1487721 2275338 2975442 6446791 12893582 19340373 38680746