Search a number
-
+
61001472 = 283721621
BaseRepresentation
bin1110100010110…
…0111100000000
311020210012021210
43220230330000
5111104021342
610015250120
71340334600
oct350547400
9136705253
1061001472
1131485344
1218519940
13c83aa5c
14815cc00
15554e79c
hex3a2cf00

61001472 has 108 divisors (see below), whose sum is σ = 188975976. Its totient is φ = 17418240.

The previous prime is 61001467. The next prime is 61001503. The reversal of 61001472 is 27410016.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36822 + ... + 38442.

Almost surely, 261001472 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 61001472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94487988).

61001472 is an abundant number, since it is smaller than the sum of its proper divisors (127974504).

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

61001472 is a wasteful number, since it uses less digits than its factorization.

61001472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 61001472 is about 7810.3439104818. The cubic root of 61001472 is about 393.6528846912.

Adding to 61001472 its reverse (27410016), we get a palindrome (88411488).

The spelling of 61001472 in words is "sixty-one million, one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1621 1792 2352 2688 3136 3242 4704 4863 5376 6272 6484 9408 9726 11347 12544 12968 18816 19452 22694 25936 34041 37632 38904 45388 51872 68082 77808 79429 90776 103744 136164 155616 158858 181552 207488 238287 272328 311232 317716 363104 414976 476574 544656 622464 635432 726208 953148 1089312 1244928 1270864 1452416 1906296 2178624 2541728 2904832 3812592 4357248 5083456 7625184 8714496 10166912 15250368 20333824 30500736 61001472