[go: up one dir, main page]

Search a number
-
+
42015156 = 223191271451
BaseRepresentation
bin1010000001000…
…1100110110100
32221001120221220
42200101212310
541223441111
64100310340
71020060111
oct240214664
987046856
1042015156
1121797677
12120a23b0
138920b51
145819908
153a4de06
hex28119b4

42015156 has 48 divisors (see below), whose sum is σ = 104079360. Its totient is φ = 13154400.

The previous prime is 42015151. The next prime is 42015157. The reversal of 42015156 is 65151024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42015151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28231 + ... + 29681.

It is an arithmetic number, because the mean of its divisors is an integer number (2168320).

Almost surely, 242015156 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 42015156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52039680).

42015156 is an abundant number, since it is smaller than the sum of its proper divisors (62064204).

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

42015156 is a wasteful number, since it uses less digits than its factorization.

42015156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 42015156 is about 6481.9099037244. The cubic root of 42015156 is about 347.6444710951.

It can be divided in two parts, 420 and 15156, that added together give a triangular number (15576 = T176).

The spelling of 42015156 in words is "forty-two million, fifteen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 127 228 254 381 508 762 1451 1524 2413 2902 4353 4826 5804 7239 8706 9652 14478 17412 27569 28956 55138 82707 110276 165414 184277 330828 368554 552831 737108 1105662 2211324 3501263 7002526 10503789 14005052 21007578 42015156