Search a number
-
+
46325040 = 24351910159
BaseRepresentation
bin1011000010110…
…1110100110000
310020011120000020
42300231310300
543324400130
64332523440
71101520266
oct260556460
9106146006
1046325040
1124170763
1213620580
13979c788
14621c436
154100e10
hex2c2dd30

46325040 has 80 divisors (see below), whose sum is σ = 151180800. Its totient is φ = 11702016.

The previous prime is 46325009. The next prime is 46325053. The reversal of 46325040 is 4052364.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 46325040.

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, 520 + ... + 9639.

It is an arithmetic number, because the mean of its divisors is an integer number (1889760).

Almost surely, 246325040 is an apocalyptic number.

46325040 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 46325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75590400).

46325040 is an abundant number, since it is smaller than the sum of its proper divisors (104855760).

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

46325040 is a wasteful number, since it uses less digits than its factorization.

46325040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10194 (or 10188 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 46325040 is about 6806.2500688705. The cubic root of 46325040 is about 359.1467446836.

The spelling of 46325040 in words is "forty-six million, three hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 10159 20318 30477 40636 50795 60954 81272 101590 121908 152385 162544 193021 203180 243816 304770 386042 406360 487632 579063 609540 772084 812720 965105 1158126 1219080 1544168 1930210 2316252 2438160 2895315 3088336 3860420 4632504 5790630 7720840 9265008 11581260 15441680 23162520 46325040