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29842470 = 23257267101
BaseRepresentation
bin111000111010…
…1110000100110
32002011011011200
41301311300212
530114424340
62543343330
7511441200
oct161656046
962134150
1029842470
11159330a9
129bb1b46
13624b388
143d6b770
152947330
hex1c75c26

29842470 has 144 divisors (see below), whose sum is σ = 92512368. Its totient is φ = 6652800.

The previous prime is 29842469. The next prime is 29842471. The reversal of 29842470 is 7424892.

It is an interprime number because it is at equal distance from previous prime (29842469) and next prime (29842471).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29842471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 295420 + ... + 295520.

It is an arithmetic number, because the mean of its divisors is an integer number (642447).

Almost surely, 229842470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29842470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46256184).

29842470 is an abundant number, since it is smaller than the sum of its proper divisors (62669898).

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

29842470 is a wasteful number, since it uses less digits than its factorization.

29842470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 29842470 is about 5462.8261916338. The cubic root of 29842470 is about 310.1784265931.

The spelling of 29842470 in words is "twenty-nine million, eight hundred forty-two thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 67 70 90 98 101 105 126 134 147 201 202 210 245 294 303 315 335 402 441 469 490 505 603 606 630 670 707 735 882 909 938 1005 1010 1206 1407 1414 1470 1515 1818 2010 2121 2205 2345 2814 3015 3030 3283 3535 4221 4242 4410 4545 4690 4949 6030 6363 6566 6767 7035 7070 8442 9090 9849 9898 10605 12726 13534 14070 14847 16415 19698 20301 21105 21210 24745 29547 29694 31815 32830 33835 40602 42210 44541 47369 49245 49490 59094 60903 63630 67670 74235 89082 94738 98490 101505 121806 142107 147735 148470 203010 222705 236845 284214 295470 304515 331583 426321 445410 473690 609030 663166 710535 852642 994749 1421070 1657915 1989498 2131605 2984247 3315830 4263210 4973745 5968494 9947490 14921235 29842470