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48972126 = 23729311297
BaseRepresentation
bin1011101011010…
…0000101011110
310102011001010110
42322310011132
5100014102001
64505350450
71133153610
oct272640536
9112131113
1048972126
1125709535
1214498426
13a1b85b8
14670adb0
1544753d6
hex2eb415e

48972126 has 64 divisors (see below), whose sum is σ = 119623680. Its totient is φ = 13063680.

The previous prime is 48972107. The next prime is 48972137. The reversal of 48972126 is 62127984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37110 + ... + 38406.

It is an arithmetic number, because the mean of its divisors is an integer number (1869120).

Almost surely, 248972126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48972126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59811840).

48972126 is an abundant number, since it is smaller than the sum of its proper divisors (70651554).

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

48972126 is a wasteful number, since it uses less digits than its factorization.

48972126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369.

The product of its digits is 48384, while the sum is 39.

The square root of 48972126 is about 6998.0087167708. The cubic root of 48972126 is about 365.8611704346.

The spelling of 48972126 in words is "forty-eight million, nine hundred seventy-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 29 31 42 58 62 87 93 174 186 203 217 406 434 609 651 899 1218 1297 1302 1798 2594 2697 3891 5394 6293 7782 9079 12586 18158 18879 27237 37613 37758 40207 54474 75226 80414 112839 120621 225678 241242 263291 281449 526582 562898 789873 844347 1166003 1579746 1688694 2332006 3498009 6996018 8162021 16324042 24486063 48972126