Search a number
-
+
47402496 = 2936127
BaseRepresentation
bin1011010011010…
…0111000000000
310022012022000000
42310310320000
544113334441
64412000000
71113625461
oct264647000
9108168000
1047402496
1124837219
1213a60000
139a8901b
14641cd68
1542652b6
hex2d34e00

47402496 has 140 divisors (see below), whose sum is σ = 143121792. Its totient is φ = 15676416.

The previous prime is 47402491. The next prime is 47402497. The reversal of 47402496 is 69420474.

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

It is a self number, because there is not a number n which added to its sum of digits gives 47402496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47402491) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 373185 + ... + 373311.

Almost surely, 247402496 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 47402496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71560896).

47402496 is an abundant number, since it is smaller than the sum of its proper divisors (95719296).

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

47402496 is an frugal number, since it uses more digits than its factorization.

47402496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

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

The square root of 47402496 is about 6884.9470586200. The cubic root of 47402496 is about 361.9098500626.

The spelling of 47402496 in words is "forty-seven million, four hundred two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 127 128 144 162 192 216 243 254 256 288 324 381 384 432 486 508 512 576 648 729 762 768 864 972 1016 1143 1152 1296 1458 1524 1536 1728 1944 2032 2286 2304 2592 2916 3048 3429 3456 3888 4064 4572 4608 5184 5832 6096 6858 6912 7776 8128 9144 10287 10368 11664 12192 13716 13824 15552 16256 18288 20574 20736 23328 24384 27432 30861 31104 32512 36576 41148 41472 46656 48768 54864 61722 62208 65024 73152 82296 92583 93312 97536 109728 123444 124416 146304 164592 185166 186624 195072 219456 246888 292608 329184 370332 373248 438912 493776 585216 658368 740664 877824 987552 1316736 1481328 1755648 1975104 2633472 2962656 3950208 5266944 5925312 7900416 11850624 15800832 23701248 47402496