Search a number
-
+
46920640 = 2651311279
BaseRepresentation
bin1011001011111…
…1001111000000
310021021211000111
42302333033000
544002430030
64353401104
71106550604
oct262771700
9107254014
1046920640
1124538198
1213869194
13994a8c0
146335504
1541bc62a
hex2cbf3c0

46920640 has 56 divisors (see below), whose sum is σ = 120335040. Its totient is φ = 17323008.

The previous prime is 46920631. The next prime is 46920641. The reversal of 46920640 is 4602964.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46920641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1480 + ... + 9799.

It is an arithmetic number, because the mean of its divisors is an integer number (2148840).

Almost surely, 246920640 is an apocalyptic number.

46920640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46920640 is an abundant number, since it is smaller than the sum of its proper divisors (73414400).

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

46920640 is a wasteful number, since it uses less digits than its factorization.

46920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11309 (or 11299 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 46920640 is about 6849.8642322312. The cubic root of 46920640 is about 360.6793755432.

The spelling of 46920640 in words is "forty-six million, nine hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 11279 22558 45116 56395 90232 112790 146627 180464 225580 293254 360928 451160 586508 721856 733135 902320 1173016 1466270 1804640 2346032 2932540 3609280 4692064 5865080 9384128 11730160 23460320 46920640