Search a number
-
+
46770048 = 273413347
BaseRepresentation
bin1011001001101…
…0011110000000
310021000011110000
42302122132000
543433120143
64350240000
71105352553
oct262323600
9107004400
1046770048
1124445036
12137b6000
1398c71b0
1462d669a
15418cbd3
hex2c9a780

46770048 has 160 divisors (see below), whose sum is σ = 150325560. Its totient is φ = 14349312.

The previous prime is 46770023. The next prime is 46770071. The reversal of 46770048 is 84007764.

It is a happy number.

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 = 46769994 and 46770021.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 134611 + ... + 134957.

Almost surely, 246770048 is an apocalyptic number.

46770048 is a gapful number since it is divisible by the number (48) 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 46770048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75162780).

46770048 is an abundant number, since it is smaller than the sum of its proper divisors (103555512).

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

46770048 is a wasteful number, since it uses less digits than its factorization.

46770048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 46770048 is about 6838.8630634046. The cubic root of 46770048 is about 360.2930946450.

The spelling of 46770048 in words is "forty-six million, seven hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 347 351 384 416 432 468 576 624 648 694 702 832 864 936 1041 1053 1152 1248 1296 1388 1404 1664 1728 1872 2082 2106 2496 2592 2776 2808 3123 3456 3744 4164 4212 4511 4992 5184 5552 5616 6246 7488 8328 8424 9022 9369 10368 11104 11232 12492 13533 14976 16656 16848 18044 18738 22208 22464 24984 27066 28107 33312 33696 36088 37476 40599 44416 44928 49968 54132 56214 66624 67392 72176 74952 81198 99936 108264 112428 121797 133248 134784 144352 149904 162396 199872 216528 224856 243594 288704 299808 324792 365391 399744 433056 449712 487188 577408 599616 649584 730782 866112 899424 974376 1199232 1299168 1461564 1732224 1798848 1948752 2598336 2923128 3597696 3897504 5196672 5846256 7795008 11692512 15590016 23385024 46770048