Search a number
-
+
76104252 = 22337273197
BaseRepresentation
bin1001000100101…
…00001000111100
312022012111102000
410202110020330
5123440314002
611315102300
71612606200
oct442241074
9168174360
1076104252
1139a60284
12215a1990
13129c8103
14a170b00
156a3461c
hex489423c

76104252 has 144 divisors (see below), whose sum is σ = 233845920. Its totient is φ = 21337344.

The previous prime is 76104239. The next prime is 76104289. The reversal of 76104252 is 25240167.

76104252 is a `hidden beast` number, since 7 + 610 + 42 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386218 + ... + 386414.

It is an arithmetic number, because the mean of its divisors is an integer number (1623930).

Almost surely, 276104252 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 76104252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116922960).

76104252 is an abundant number, since it is smaller than the sum of its proper divisors (157741668).

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

76104252 is a wasteful number, since it uses less digits than its factorization.

76104252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 76104252 is about 8723.7751002648. The cubic root of 76104252 is about 423.7759511086.

The spelling of 76104252 in words is "seventy-six million, one hundred four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 73 84 98 108 126 146 147 189 196 197 219 252 292 294 378 394 438 441 511 588 591 657 756 788 876 882 1022 1182 1314 1323 1379 1533 1764 1773 1971 2044 2364 2628 2646 2758 3066 3546 3577 3942 4137 4599 5292 5319 5516 6132 7092 7154 7884 8274 9198 9653 10638 10731 12411 13797 14308 14381 16548 18396 19306 21276 21462 24822 27594 28762 28959 32193 37233 38612 42924 43143 49644 55188 57524 57918 64386 74466 86286 86877 96579 100667 115836 128772 129429 148932 172572 173754 193158 201334 258858 260631 302001 347508 386316 388287 402668 517716 521262 604002 704669 776574 906003 1042524 1208004 1409338 1553148 1812006 2114007 2718009 2818676 3624012 4228014 5436018 6342021 8456028 10872036 12684042 19026063 25368084 38052126 76104252