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45172992 = 283131449
BaseRepresentation
bin1010110001010…
…0100100000000
310011000000200210
42230110210000
543031013432
64252114120
71055651454
oct254244400
9104000623
1045172992
1123554157
1213165940
1394882a7
145ddc664
153e748cc
hex2b14900

45172992 has 72 divisors (see below), whose sum is σ = 121413600. Its totient is φ = 14909440.

The previous prime is 45172991. The next prime is 45173003. The reversal of 45172992 is 29927154.

It is a self number, because there is not a number n which added to its sum of digits gives 45172992.

It is not an unprimeable number, because it can be changed into a prime (45172991) 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, 100384 + ... + 100832.

It is an arithmetic number, because the mean of its divisors is an integer number (1686300).

Almost surely, 245172992 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 45172992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60706800).

45172992 is an abundant number, since it is smaller than the sum of its proper divisors (76240608).

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

45172992 is a wasteful number, since it uses less digits than its factorization.

45172992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 585 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 45172992 is about 6721.0856265934. The cubic root of 45172992 is about 356.1445358483.

It can be divided in two parts, 45172 and 992, that added together give a palindrome (46164).

The spelling of 45172992 in words is "forty-five million, one hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 256 262 384 393 449 524 768 786 898 1048 1347 1572 1796 2096 2694 3144 3592 4192 5388 6288 7184 8384 10776 12576 14368 16768 21552 25152 28736 33536 43104 50304 57472 58819 86208 100608 114944 117638 172416 176457 235276 344832 352914 470552 705828 941104 1411656 1882208 2823312 3764416 5646624 7528832 11293248 15057664 22586496 45172992