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31387392 = 283319239
BaseRepresentation
bin111011110111…
…0111100000000
32012001122102000
41313232330000
531013344032
63040424000
7530534301
oct167567400
965048360
1031387392
11167988a3
12a618000
13666c62a
1442507a8
152b4ee7c
hex1deef00

31387392 has 144 divisors (see below), whose sum is σ = 98112000. Its totient is φ = 9870336.

The previous prime is 31387379. The next prime is 31387393. The reversal of 31387392 is 29378313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31387393) 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, 131209 + ... + 131447.

Almost surely, 231387392 is an apocalyptic number.

31387392 is a gapful number since it is divisible by the number (32) 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 31387392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49056000).

31387392 is an abundant number, since it is smaller than the sum of its proper divisors (66724608).

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

31387392 is a wasteful number, since it uses less digits than its factorization.

31387392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 263 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 31387392 is about 5602.4451804547. The cubic root of 31387392 is about 315.4411958220.

The spelling of 31387392 in words is "thirty-one million, three hundred eighty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 239 256 288 304 342 384 432 456 478 513 576 608 684 717 768 864 912 956 1026 1152 1216 1368 1434 1728 1824 1912 2052 2151 2304 2432 2736 2868 3456 3648 3824 4104 4302 4541 4864 5472 5736 6453 6912 7296 7648 8208 8604 9082 10944 11472 12906 13623 14592 15296 16416 17208 18164 21888 22944 25812 27246 30592 32832 34416 36328 40869 43776 45888 51624 54492 61184 65664 68832 72656 81738 91776 103248 108984 122607 131328 137664 145312 163476 183552 206496 217968 245214 275328 290624 326952 412992 435936 490428 550656 581248 653904 825984 871872 980856 1162496 1307808 1651968 1743744 1961712 2615616 3487488 3923424 5231232 7846848 10462464 15693696 31387392