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46868976 = 24337111409
BaseRepresentation
bin1011001011001…
…0100111110000
310021012012011000
42302302213300
543444301401
64352322000
71106244150
oct262624760
9107165130
1046868976
11245023a0
1213843300
13993022b
146320760
1541ac186
hex2cb29f0

46868976 has 160 divisors (see below), whose sum is σ = 167846400. Its totient is φ = 12165120.

The previous prime is 46868971. The next prime is 46868977. The reversal of 46868976 is 67986864.

46868976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×468689762 = 4393401822577152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (46868971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32560 + ... + 33968.

It is an arithmetic number, because the mean of its divisors is an integer number (1049040).

Almost surely, 246868976 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 46868976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83923200).

46868976 is an abundant number, since it is smaller than the sum of its proper divisors (120977424).

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

46868976 is a wasteful number, since it uses less digits than its factorization.

46868976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1432 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 46868976 is about 6846.0920239214. The cubic root of 46868976 is about 360.5469463838.

The spelling of 46868976 in words is "forty-six million, eight hundred sixty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1409 1512 1584 1848 2079 2376 2772 2818 3024 3696 4158 4227 4752 5544 5636 8316 8454 9863 11088 11272 12681 15499 16632 16908 19726 22544 25362 29589 30998 33264 33816 38043 39452 46497 50724 59178 61996 67632 76086 78904 88767 92994 101448 108493 118356 123992 139491 152172 157808 177534 185988 202896 216986 236712 247984 266301 278982 304344 325479 355068 371976 418473 433972 473424 532602 557964 608688 650958 710136 743952 836946 867944 976437 1065204 1115928 1301916 1420272 1673892 1735888 1952874 2130408 2231856 2603832 2929311 3347784 3905748 4260816 5207664 5858622 6695568 7811496 11717244 15622992 23434488 46868976