Search a number
-
+
45353856 = 273831423
BaseRepresentation
bin1010110100000…
…0101110000000
310011100012210110
42231000232000
543102310411
64300031320
71060333662
oct255005600
9104305713
1045353856
1123668029
1213232540
13951c702
146048532
153ead2a6
hex2b40b80

45353856 has 64 divisors (see below), whose sum is σ = 122008320. Its totient is φ = 14925312.

The previous prime is 45353851. The next prime is 45353857. The reversal of 45353856 is 65835354.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45353851) 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, 31161 + ... + 32583.

It is an arithmetic number, because the mean of its divisors is an integer number (1906380).

Almost surely, 245353856 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 45353856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61004160).

45353856 is an abundant number, since it is smaller than the sum of its proper divisors (76654464).

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

45353856 is a wasteful number, since it uses less digits than its factorization.

45353856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1511 counting only the distinct ones).

The product of its digits is 216000, while the sum is 39.

The square root of 45353856 is about 6734.5271548937. The cubic root of 45353856 is about 356.6192143856.

The spelling of 45353856 in words is "forty-five million, three hundred fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 384 498 664 996 1328 1423 1992 2656 2846 3984 4269 5312 5692 7968 8538 10624 11384 15936 17076 22768 31872 34152 45536 68304 91072 118109 136608 182144 236218 273216 354327 472436 546432 708654 944872 1417308 1889744 2834616 3779488 5669232 7558976 11338464 15117952 22676928 45353856