Search a number
-
+
45974976 = 2632329359
BaseRepresentation
bin1010111101100…
…0010111000000
310012111202210220
42233120113000
543232144401
64321223040
71065531555
oct257302700
9105452726
1045974976
1123a51753
1213491a80
1396a9338
14616aa2c
154082336
hex2bd85c0

45974976 has 112 divisors (see below), whose sum is σ = 131673600. Its totient is φ = 14113792.

The previous prime is 45974969. The next prime is 45974989. The reversal of 45974976 is 67947954.

It is a super-2 number, since 2×459749762 = 4227396836401152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127885 + ... + 128243.

Almost surely, 245974976 is an apocalyptic number.

45974976 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45974976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65836800).

45974976 is an abundant number, since it is smaller than the sum of its proper divisors (85698624).

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

45974976 is a wasteful number, since it uses less digits than its factorization.

45974976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The square root of 45974976 is about 6780.4849384096. The cubic root of 45974976 is about 358.2398027149.

The spelling of 45974976 in words is "forty-five million, nine hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 138 174 184 192 232 276 348 359 368 464 552 667 696 718 736 928 1077 1104 1334 1392 1436 1472 1856 2001 2154 2208 2668 2784 2872 4002 4308 4416 5336 5568 5744 8004 8257 8616 10411 10672 11488 16008 16514 17232 20822 21344 22976 24771 31233 32016 33028 34464 41644 42688 49542 62466 64032 66056 68928 83288 99084 124932 128064 132112 166576 198168 239453 249864 264224 333152 396336 478906 499728 528448 666304 718359 792672 957812 999456 1436718 1585344 1915624 1998912 2873436 3831248 5746872 7662496 11493744 15324992 22987488 45974976