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46868920 = 2357732293
BaseRepresentation
bin1011001011001…
…0100110111000
310021012012001221
42302302212320
543444301140
64352321424
71106244040
oct262624670
9107165057
1046868920
112450234a
1213843274
1399301b7
146320720
1541ac14a
hex2cb29b8

46868920 has 64 divisors (see below), whose sum is σ = 122224320. Its totient is φ = 15842304.

The previous prime is 46868911. The next prime is 46868929. The reversal of 46868920 is 2986864.

It is a happy number.

46868920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46868911) and next prime (46868929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46868929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19294 + ... + 21586.

It is an arithmetic number, because the mean of its divisors is an integer number (1909755).

Almost surely, 246868920 is an apocalyptic number.

46868920 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 46868920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61112160).

46868920 is an abundant number, since it is smaller than the sum of its proper divisors (75355400).

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

46868920 is a wasteful number, since it uses less digits than its factorization.

46868920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 46868920 is about 6846.0879339956. The cubic root of 46868920 is about 360.5468027874.

The spelling of 46868920 in words is "forty-six million, eight hundred sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 511 584 730 1022 1460 2044 2293 2555 2920 4088 4586 5110 9172 10220 11465 16051 18344 20440 22930 32102 45860 64204 80255 91720 128408 160510 167389 321020 334778 642040 669556 836945 1171723 1339112 1673890 2343446 3347780 4686892 5858615 6695560 9373784 11717230 23434460 46868920