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45494784 = 29341097
BaseRepresentation
bin1010110110001…
…1001000000000
310011121101010000
42231203020000
543121313114
64303040000
71061461566
oct255431000
9104541100
1045494784
11237539a5
12132a0000
13956b8ba
146083a36
153ed9e09
hex2b63200

45494784 has 100 divisors (see below), whose sum is σ = 135913734. Its totient is φ = 15151104.

The previous prime is 45494777. The next prime is 45494821. The reversal of 45494784 is 48749454.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 3504384 = 6480^2 + 1872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40924 + ... + 42020.

Almost surely, 245494784 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 45494784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67956867).

45494784 is an abundant number, since it is smaller than the sum of its proper divisors (90418950).

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

45494784 is an equidigital number, since it uses as much as digits as its factorization.

45494784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1102 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 45494784 is about 6744.9821348911. The cubic root of 45494784 is about 356.9882066579.

The spelling of 45494784 in words is "forty-five million, four hundred ninety-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1097 1152 1296 1536 1728 2194 2304 2592 3291 3456 4388 4608 5184 6582 6912 8776 9873 10368 13164 13824 17552 19746 20736 26328 29619 35104 39492 41472 52656 59238 70208 78984 88857 105312 118476 140416 157968 177714 210624 236952 280832 315936 355428 421248 473904 561664 631872 710856 842496 947808 1263744 1421712 1684992 1895616 2527488 2843424 3791232 5054976 5686848 7582464 11373696 15164928 22747392 45494784