Search a number
-
+
44712972 = 2235157293
BaseRepresentation
bin1010101010010…
…0010000001100
310010010122200000
42222210100030
542421303342
64234204300
71052024343
oct252442014
9103118600
1044712972
112326a577
1212b83690
139356aa5
145d1cb5a
153dd344c
hex2aa440c

44712972 has 72 divisors (see below), whose sum is σ = 118359696. Its totient is φ = 14758848.

The previous prime is 44712961. The next prime is 44712979. The reversal of 44712972 is 27921744.

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

It is not an unprimeable number, because it can be changed into a prime (44712979) 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, 152458 + ... + 152750.

Almost surely, 244712972 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 44712972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59179848).

44712972 is an abundant number, since it is smaller than the sum of its proper divisors (73646724).

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

44712972 is a wasteful number, since it uses less digits than its factorization.

44712972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 455 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 44712972 is about 6686.7759047242. The cubic root of 44712972 is about 354.9314739120.

The spelling of 44712972 in words is "forty-four million, seven hundred twelve thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 243 293 314 324 471 486 586 628 879 942 972 1172 1413 1758 1884 2637 2826 3516 4239 5274 5652 7911 8478 10548 12717 15822 16956 23733 25434 31644 38151 46001 47466 50868 71199 76302 92002 94932 138003 142398 152604 184004 276006 284796 414009 552012 828018 1242027 1656036 2484054 3726081 4968108 7452162 11178243 14904324 22356486 44712972