Search a number
-
+
46910240 = 25513191187
BaseRepresentation
bin1011001011110…
…0101100100000
310021021021202022
42302330230200
544002111430
64353241012
71106505356
oct262745440
9107237668
1046910240
11245303a3
1213863168
139945c50
1463317d6
1541b94e5
hex2cbcb20

46910240 has 96 divisors (see below), whose sum is σ = 125737920. Its totient is φ = 16395264.

The previous prime is 46910239. The next prime is 46910243. The reversal of 46910240 is 4201964.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (46910243) 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, 38927 + ... + 40113.

It is an arithmetic number, because the mean of its divisors is an integer number (1309770).

Almost surely, 246910240 is an apocalyptic number.

46910240 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 46910240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62868960).

46910240 is an abundant number, since it is smaller than the sum of its proper divisors (78827680).

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

46910240 is a wasteful number, since it uses less digits than its factorization.

46910240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 46910240 is about 6849.1050510267. The cubic root of 46910240 is about 360.6527252767.

The spelling of 46910240 in words is "forty-six million, nine hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 65 76 80 95 104 130 152 160 190 208 247 260 304 380 416 494 520 608 760 988 1040 1187 1235 1520 1976 2080 2374 2470 3040 3952 4748 4940 5935 7904 9496 9880 11870 15431 18992 19760 22553 23740 30862 37984 39520 45106 47480 61724 77155 90212 94960 112765 123448 154310 180424 189920 225530 246896 293189 308620 360848 451060 493792 586378 617240 721696 902120 1172756 1234480 1465945 1804240 2345512 2468960 2931890 3608480 4691024 5863780 9382048 11727560 23455120 46910240