Search a number
-
+
45442944 = 2736487
BaseRepresentation
bin1010110101011…
…0011110000000
310011111202000000
42231112132000
543113133234
64302000000
71061154501
oct255263600
9104452000
1045442944
1123718a58
1213276000
139551121
14606cba8
153ec9899
hex2b56780

45442944 has 112 divisors (see below), whose sum is σ = 136012920. Its totient is φ = 15116544.

The previous prime is 45442939. The next prime is 45442949. The reversal of 45442944 is 44924454.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45442939) and next prime (45442949).

It is a super-2 number, since 2×454429442 = 4130122318774272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 45442899 and 45442908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45442949) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 93069 + ... + 93555.

Almost surely, 245442944 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 45442944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68006460).

45442944 is an abundant number, since it is smaller than the sum of its proper divisors (90569976).

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

45442944 is an frugal number, since it uses more digits than its factorization.

45442944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 492 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 45442944 is about 6741.1381828294. The cubic root of 45442944 is about 356.8525625205.

The spelling of 45442944 in words is "forty-five million, four hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 487 576 648 729 864 972 974 1152 1296 1458 1461 1728 1944 1948 2592 2916 2922 3456 3888 3896 4383 5184 5832 5844 7776 7792 8766 10368 11664 11688 13149 15552 15584 17532 23328 23376 26298 31104 31168 35064 39447 46656 46752 52596 62336 70128 78894 93312 93504 105192 118341 140256 157788 187008 210384 236682 280512 315576 355023 420768 473364 561024 631152 710046 841536 946728 1262304 1420092 1683072 1893456 2524608 2840184 3786912 5049216 5680368 7573824 11360736 15147648 22721472 45442944