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31404048 = 2431359853
BaseRepresentation
bin111011111001…
…1000000010000
32012002111020220
41313303000100
531014412143
63041033040
7530633664
oct167630020
965074226
1031404048
11167aa365
12a625780
1366770a0
1442568a4
152b54d83
hex1df3010

31404048 has 80 divisors (see below), whose sum is σ = 88952640. Its totient is φ = 9487872.

The previous prime is 31404047. The next prime is 31404059. The reversal of 31404048 is 84040413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (31404047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36390 + ... + 37242.

It is an arithmetic number, because the mean of its divisors is an integer number (1111908).

Almost surely, 231404048 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 31404048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44476320).

31404048 is an abundant number, since it is smaller than the sum of its proper divisors (57548592).

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

31404048 is a wasteful number, since it uses less digits than its factorization.

31404048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 31404048 is about 5603.9314770971. The cubic root of 31404048 is about 315.4969831848.

The spelling of 31404048 in words is "thirty-one million, four hundred four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 78 104 118 156 177 208 236 312 354 472 624 708 767 853 944 1416 1534 1706 2301 2559 2832 3068 3412 4602 5118 6136 6824 9204 10236 11089 12272 13648 18408 20472 22178 33267 36816 40944 44356 50327 66534 88712 100654 133068 150981 177424 201308 266136 301962 402616 532272 603924 654251 805232 1207848 1308502 1962753 2415696 2617004 3925506 5234008 7851012 10468016 15702024 31404048