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71396352 = 2103261127
BaseRepresentation
bin1000100000101…
…10110000000000
311222100022101100
410100112300000
5121234140402
611030134400
71524600426
oct420266000
9158308340
1071396352
1137335155
121bab1400
1311a3a281
1496a7116
15640471c
hex4416c00

71396352 has 132 divisors (see below), whose sum is σ = 211184896. Its totient is φ = 23224320.

The previous prime is 71396333. The next prime is 71396371. The reversal of 71396352 is 25369317.

71396352 is a `hidden beast` number, since 7 + 13 + 9 + 635 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (71396333) and next prime (71396371).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 562113 + ... + 562239.

Almost surely, 271396352 is an apocalyptic number.

71396352 is a gapful number since it is divisible by the number (72) 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 71396352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105592448).

71396352 is an abundant number, since it is smaller than the sum of its proper divisors (139788544).

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

71396352 is a wasteful number, since it uses less digits than its factorization.

71396352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 71396352 is about 8449.6362051866. The cubic root of 71396352 is about 414.8508720483.

The spelling of 71396352 in words is "seventy-one million, three hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 127 128 144 183 192 244 254 256 288 366 381 384 488 508 512 549 576 732 762 768 976 1016 1024 1098 1143 1152 1464 1524 1536 1952 2032 2196 2286 2304 2928 3048 3072 3904 4064 4392 4572 4608 5856 6096 7747 7808 8128 8784 9144 9216 11712 12192 15494 15616 16256 17568 18288 23241 23424 24384 30988 31232 32512 35136 36576 46482 46848 48768 61976 62464 65024 69723 70272 73152 92964 93696 97536 123952 130048 139446 140544 146304 185928 187392 195072 247904 278892 281088 292608 371856 390144 495808 557784 562176 585216 743712 991616 1115568 1170432 1487424 1983232 2231136 2974848 3966464 4462272 5949696 7932928 8924544 11899392 17849088 23798784 35698176 71396352