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45740544 = 29397307
BaseRepresentation
bin1010111001111…
…1001000000000
310012001212020020
42232133020000
543202144134
64312213440
71063534233
oct256371000
9105055206
1045740544
1123901603
121339a280
139626715
14610941a
154037b49
hex2b9f200

45740544 has 80 divisors (see below), whose sum is σ = 123512928. Its totient is φ = 15040512.

The previous prime is 45740507. The next prime is 45740551. The reversal of 45740544 is 44504754.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148839 + ... + 149145.

Almost surely, 245740544 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 45740544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61756464).

45740544 is an abundant number, since it is smaller than the sum of its proper divisors (77772384).

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

45740544 is an equidigital number, since it uses as much as digits as its factorization.

45740544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 33.

The square root of 45740544 is about 6763.1755854776. The cubic root of 45740544 is about 357.6298620269.

The spelling of 45740544 in words is "forty-five million, seven hundred forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 256 291 307 384 388 512 582 614 768 776 921 1164 1228 1536 1552 1842 2328 2456 3104 3684 4656 4912 6208 7368 9312 9824 12416 14736 18624 19648 24832 29472 29779 37248 39296 49664 58944 59558 74496 78592 89337 117888 119116 148992 157184 178674 235776 238232 357348 471552 476464 714696 952928 1429392 1905856 2858784 3811712 5717568 7623424 11435136 15246848 22870272 45740544