Search a number
-
+
47269440 = 263355471
BaseRepresentation
bin1011010001010…
…0011001000000
310021221112111000
42310110121000
544100110230
64405052000
71112532531
oct264243100
9107845430
1047269440
1124756259
12139b7000
139a405aa
1463c6688
15423ab60
hex2d14640

47269440 has 112 divisors (see below), whose sum is σ = 166786560. Its totient is φ = 12602880.

The previous prime is 47269421. The next prime is 47269441. The reversal of 47269440 is 4496274.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47269395 and 47269404.

It is not an unprimeable number, because it can be changed into a prime (47269441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5905 + ... + 11375.

Almost surely, 247269440 is an apocalyptic number.

47269440 is a gapful number since it is divisible by the number (40) 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 47269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83393280).

47269440 is an abundant number, since it is smaller than the sum of its proper divisors (119517120).

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

47269440 is a wasteful number, since it uses less digits than its factorization.

47269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5497 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 47269440 is about 6875.2774489471. The cubic root of 47269440 is about 361.5709128977.

The spelling of 47269440 in words is "forty-seven million, two hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 5471 8640 10942 16413 21884 27355 32826 43768 49239 54710 65652 82065 87536 98478 109420 131304 147717 164130 175072 196956 218840 246195 262608 295434 328260 350144 393912 437680 492390 525216 590868 656520 738585 787824 875360 984780 1050432 1181736 1313040 1477170 1575648 1750720 1969560 2363472 2626080 2954340 3151296 3939120 4726944 5252160 5908680 7878240 9453888 11817360 15756480 23634720 47269440