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71708952 = 2337331281
BaseRepresentation
bin1000100011000…
…11000100011000
311222221012012010
410101203010120
5121324141302
611040545520
71530342000
oct421430430
9158835163
1071708952
1137528aa7
12200222a0
1311b19643
149749000
15646716c
hex4463118

71708952 has 128 divisors (see below), whose sum is σ = 216576000. Its totient is φ = 19756800.

The previous prime is 71708933. The next prime is 71708953. The reversal of 71708952 is 25980717.

It is a self number, because there is not a number n which added to its sum of digits gives 71708952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71708953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255052 + ... + 255332.

It is an arithmetic number, because the mean of its divisors is an integer number (1692000).

Almost surely, 271708952 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 71708952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108288000).

71708952 is an abundant number, since it is smaller than the sum of its proper divisors (144867048).

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

71708952 is a wasteful number, since it uses less digits than its factorization.

71708952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 71708952 is about 8468.1138395749. The cubic root of 71708952 is about 415.4554481085.

The spelling of 71708952 in words is "seventy-one million, seven hundred eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 62 84 93 98 124 147 168 186 196 217 248 281 294 343 372 392 434 562 588 651 686 744 843 868 1029 1124 1176 1302 1372 1519 1686 1736 1967 2058 2248 2604 2744 3038 3372 3934 4116 4557 5208 5901 6076 6744 7868 8232 8711 9114 10633 11802 12152 13769 15736 17422 18228 21266 23604 26133 27538 31899 34844 36456 41307 42532 47208 52266 55076 60977 63798 69688 82614 85064 96383 104532 110152 121954 127596 165228 182931 192766 209064 243908 255192 289149 330456 365862 385532 426839 487816 578298 731724 771064 853678 1156596 1280517 1463448 1707356 2313192 2561034 2987873 3414712 5122068 5975746 8963619 10244136 11951492 17927238 23902984 35854476 71708952