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45789696 = 293219523
BaseRepresentation
bin1010111010101…
…1001000000000
310012011100122200
42232223020000
543210232241
64313233200
71064130441
oct256531000
9105140580
1045789696
1123935527
1213402800
139642bc4
14611d2c8
1540474b6
hex2bab200

45789696 has 120 divisors (see below), whose sum is σ = 139373520. Its totient is φ = 14432256.

The previous prime is 45789691. The next prime is 45789707. The reversal of 45789696 is 69698754.

45789696 is a `hidden beast` number, since 4 + 578 + 9 + 69 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (45789691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87291 + ... + 87813.

It is an arithmetic number, because the mean of its divisors is an integer number (1161446).

Almost surely, 245789696 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 45789696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69686760).

45789696 is an abundant number, since it is smaller than the sum of its proper divisors (93583824).

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

45789696 is a wasteful number, since it uses less digits than its factorization.

45789696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 547 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 45789696 is about 6766.8084057405. The cubic root of 45789696 is about 357.7579171306.

The spelling of 45789696 in words is "forty-five million, seven hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 523 576 608 684 768 912 1046 1152 1216 1368 1536 1569 1824 2092 2304 2432 2736 3138 3648 4184 4608 4707 4864 5472 6276 7296 8368 9414 9728 9937 10944 12552 14592 16736 18828 19874 21888 25104 29184 29811 33472 37656 39748 43776 50208 59622 66944 75312 79496 87552 89433 100416 119244 133888 150624 158992 178866 200832 238488 267776 301248 317984 357732 401664 476976 602496 635968 715464 803328 953952 1204992 1271936 1430928 1907904 2409984 2543872 2861856 3815808 5087744 5723712 7631616 11447424 15263232 22894848 45789696