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46623996 = 223217293771
BaseRepresentation
bin1011000111011…
…0110011111100
310020201202002200
42301312303330
543413431441
64343151500
71104204006
oct261666374
9106652080
1046623996
1124355331
1213745590
139875883
146299376
15415e7b6
hex2c76cfc

46623996 has 144 divisors (see below), whose sum is σ = 134447040. Its totient is φ = 13547520.

The previous prime is 46623991. The next prime is 46624001. The reversal of 46623996 is 69932664.

46623996 is a nontrivial binomial coefficient, being equal to C(9657, 2).

It is an interprime number because it is at equal distance from previous prime (46623991) and next prime (46624001).

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 (46623991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656641 + ... + 656711.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 246623996 is an apocalyptic number.

46623996 is the 9656-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46623996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

46623996 is an abundant number, since it is smaller than the sum of its proper divisors (87823044).

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

46623996 is a wasteful number, since it uses less digits than its factorization.

46623996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 159 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 46623996 is about 6828.1766233746. The cubic root of 46623996 is about 359.9176663565.

The spelling of 46623996 in words is "forty-six million, six hundred twenty-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 37 51 58 68 71 74 87 102 111 116 142 148 153 174 204 213 222 261 284 306 333 348 426 444 493 522 612 629 639 666 852 986 1044 1073 1207 1258 1278 1332 1479 1887 1972 2059 2146 2414 2516 2556 2627 2958 3219 3621 3774 4118 4292 4437 4828 5254 5661 5916 6177 6438 7242 7548 7881 8236 8874 9657 10508 10863 11322 12354 12876 14484 15762 17748 18241 18531 19314 21726 22644 23643 24708 31524 35003 36482 37062 38628 43452 44659 47286 54723 70006 72964 74124 76183 89318 94572 105009 109446 133977 140012 152366 164169 178636 210018 218892 228549 267954 304732 315027 328338 401931 420036 457098 535908 630054 656676 685647 803862 914196 1260108 1295111 1371294 1607724 2590222 2742588 3885333 5180444 7770666 11655999 15541332 23311998 46623996