[go: up one dir, main page]

Search a number
-
+
79764048 = 24337132029
BaseRepresentation
bin1001100000100…
…01101001010000
312120002102201000
410300101221100
5130404422143
611525342000
71655661150
oct460215120
9176072630
1079764048
114102aa01
1222867900
13136a9b80
14a844760
157008bd3
hex4c11a50

79764048 has 160 divisors (see below), whose sum is σ = 281926400. Its totient is φ = 21026304.

The previous prime is 79764037. The next prime is 79764053. The reversal of 79764048 is 84046797.

It is a junction number, because it is equal to n+sod(n) for n = 79763994 and 79764012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38298 + ... + 40326.

It is an arithmetic number, because the mean of its divisors is an integer number (1762040).

Almost surely, 279764048 is an apocalyptic number.

79764048 is a gapful number since it is divisible by the number (78) 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 79764048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140963200).

79764048 is an abundant number, since it is smaller than the sum of its proper divisors (202162352).

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

79764048 is a wasteful number, since it uses less digits than its factorization.

79764048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 79764048 is about 8931.0720521111. The cubic root of 79764048 is about 430.4629015367.

The spelling of 79764048 in words is "seventy-nine million, seven hundred sixty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2029 2184 2457 2808 3024 3276 4058 4368 4914 5616 6087 6552 8116 9828 12174 13104 14203 16232 18261 19656 24348 26377 28406 32464 36522 39312 42609 48696 52754 54783 56812 73044 79131 85218 97392 105508 109566 113624 127827 146088 158262 170436 184639 211016 219132 227248 237393 255654 292176 316524 340872 369278 383481 422032 438264 474786 511308 553917 633048 681744 712179 738556 766962 876528 949572 1022616 1107834 1266096 1424358 1477112 1533924 1661751 1899144 2045232 2215668 2848716 2954224 3067848 3323502 3798288 4431336 4985253 5697432 6135696 6647004 8862672 9970506 11394864 13294008 19941012 26588016 39882024 79764048