Search a number
-
+
46830700 = 22527149449
BaseRepresentation
bin1011001010100…
…1010001101100
310021010020122101
42302221101230
543442040300
64351424444
71106024440
oct262512154
9107106571
1046830700
1124486664
1213825124
139918997
146310820
1541a0b6a
hex2ca946c

46830700 has 72 divisors (see below), whose sum is σ = 117180000. Its totient is φ = 15912960.

The previous prime is 46830683. The next prime is 46830709. The reversal of 46830700 is 703864.

It is a super-2 number, since 2×468307002 = 4386228924980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (46830709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104076 + ... + 104524.

It is an arithmetic number, because the mean of its divisors is an integer number (1627500).

Almost surely, 246830700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46830700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58590000).

46830700 is an abundant number, since it is smaller than the sum of its proper divisors (70349300).

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

46830700 is a wasteful number, since it uses less digits than its factorization.

46830700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 46830700 is about 6843.2959895068. The cubic root of 46830700 is about 360.4487716100.

The spelling of 46830700 in words is "forty-six million, eight hundred thirty thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 149 175 298 350 449 596 700 745 898 1043 1490 1796 2086 2245 2980 3143 3725 4172 4490 5215 6286 7450 8980 10430 11225 12572 14900 15715 20860 22450 26075 31430 44900 52150 62860 66901 78575 104300 133802 157150 267604 314300 334505 468307 669010 936614 1338020 1672525 1873228 2341535 3345050 4683070 6690100 9366140 11707675 23415350 46830700