Search a number
-
+
42476237400 = 23352172487503
BaseRepresentation
bin100111100011110001…
…111111001001011000
311001122020112102121210
4213203301333021120
51143442404044100
631302513103120
73032413026552
oct474361771130
9131566472553
1042476237400
1117017801933
128295257aa0
13400c0b1aac
1420ad3d44d2
1511890bbc50
hex9e3c7f258

42476237400 has 288 divisors, whose sum is σ = 140443511040. Its totient is φ = 10617661440.

The previous prime is 42476237399. The next prime is 42476237449. The reversal of 42476237400 is 473267424.

It is a super-2 number, since 2×424762374002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84445549 + ... + 84446051.

It is an arithmetic number, because the mean of its divisors is an integer number (487651080).

Almost surely, 242476237400 is an apocalyptic number.

42476237400 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 42476237400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70221755520).

42476237400 is an abundant number, since it is smaller than the sum of its proper divisors (97967273640).

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

42476237400 is a wasteful number, since it uses less digits than its factorization.

42476237400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 39.

The spelling of 42476237400 in words is "forty-two billion, four hundred seventy-six million, two hundred thirty-seven thousand, four hundred".