Search a number
-
+
46874688 = 263734877
BaseRepresentation
bin1011001011010…
…0000001000000
310021012110222120
42302310001000
543444442223
64352404240
71106266620
oct262640100
9107173876
1046874688
1124506713
1213846680
139932a03
146322880
1541adbe3
hex2cb4040

46874688 has 56 divisors (see below), whose sum is σ = 141744192. Its totient is φ = 13392384.

The previous prime is 46874677. The next prime is 46874689. The reversal of 46874688 is 88647864.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 46874688.

It is not an unprimeable number, because it can be changed into a prime (46874689) 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, 16095 + ... + 18782.

Almost surely, 246874688 is an apocalyptic number.

46874688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46874688 is an abundant number, since it is smaller than the sum of its proper divisors (94869504).

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

46874688 is a wasteful number, since it uses less digits than its factorization.

46874688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34899 (or 34889 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The square root of 46874688 is about 6846.5091835183. The cubic root of 46874688 is about 360.5615926073.

The spelling of 46874688 in words is "forty-six million, eight hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 34877 69754 104631 139508 209262 244139 279016 418524 488278 558032 732417 837048 976556 1116064 1464834 1674096 1953112 2232128 2929668 3348192 3906224 5859336 6696384 7812448 11718672 15624896 23437344 46874688