Search a number
-
+
73487232 = 2732713701
BaseRepresentation
bin1000110000101…
…01001110000000
312010021112112100
410120111032000
5122303042412
611143030400
71551426330
oct430251600
9163245470
1073487232
1138533055
122073b400
13122bcb90
149a8d0c0
1566b8edc
hex4615380

73487232 has 192 divisors, whose sum is σ = 260638560. Its totient is φ = 19353600.

The previous prime is 73487221. The next prime is 73487233. The reversal of 73487232 is 23278437.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (73487233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104482 + ... + 105182.

Almost surely, 273487232 is an apocalyptic number.

73487232 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73487232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130319280).

73487232 is an abundant number, since it is smaller than the sum of its proper divisors (187151328).

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

73487232 is a wasteful number, since it uses less digits than its factorization.

73487232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 726 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 73487232 is about 8572.4694225176. The cubic root of 73487232 is about 418.8616795169.

The spelling of 73487232 in words is "seventy-three million, four hundred eighty-seven thousand, two hundred thirty-two".