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46790840 = 23541103277
BaseRepresentation
bin1011001001111…
…1100010111000
310021001012222002
42302133202320
543434301330
64350520132
71105500305
oct262374270
9107035862
1046790840
1124459718
1213806048
1399037b5
1463000ac
154193e45
hex2c9f8b8

46790840 has 64 divisors (see below), whose sum is σ = 109287360. Its totient is φ = 18017280.

The previous prime is 46790839. The next prime is 46790879. The reversal of 46790840 is 4809764.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 46790794 and 46790803.

It is a congruent number.

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, 168782 + ... + 169058.

It is an arithmetic number, because the mean of its divisors is an integer number (1707615).

Almost surely, 246790840 is an apocalyptic number.

46790840 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 46790840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54643680).

46790840 is an abundant number, since it is smaller than the sum of its proper divisors (62496520).

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

46790840 is a wasteful number, since it uses less digits than its factorization.

46790840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 46790840 is about 6840.3830302111. The cubic root of 46790840 is about 360.3464771304.

The spelling of 46790840 in words is "forty-six million, seven hundred ninety thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 103 164 205 206 277 328 410 412 515 554 820 824 1030 1108 1385 1640 2060 2216 2770 4120 4223 5540 8446 11080 11357 16892 21115 22714 28531 33784 42230 45428 56785 57062 84460 90856 113570 114124 142655 168920 227140 228248 285310 454280 570620 1141240 1169771 2339542 4679084 5848855 9358168 11697710 23395420 46790840