Search a number
-
+
78693264 = 243213127331
BaseRepresentation
bin1001011000011…
…00001110010000
312111002000212100
410230030032100
5130121141024
611450400400
71643611266
oct454141620
9174060770
1078693264
1140469461
1222430100
13133c3680
14a646436
156d967c9
hex4b0c390

78693264 has 120 divisors (see below), whose sum is σ = 239762432. Its totient is φ = 23950080.

The previous prime is 78693253. The next prime is 78693271. The reversal of 78693264 is 46239687.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237579 + ... + 237909.

Almost surely, 278693264 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 78693264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119881216).

78693264 is an abundant number, since it is smaller than the sum of its proper divisors (161069168).

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

78693264 is a wasteful number, since it uses less digits than its factorization.

78693264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 476 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 78693264 is about 8870.9223872154. The cubic root of 78693264 is about 428.5279826435.

The spelling of 78693264 in words is "seventy-eight million, six hundred ninety-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 127 144 156 208 234 254 312 331 381 468 508 624 662 762 936 993 1016 1143 1324 1524 1651 1872 1986 2032 2286 2648 2979 3048 3302 3972 4303 4572 4953 5296 5958 6096 6604 7944 8606 9144 9906 11916 12909 13208 14859 15888 17212 18288 19812 23832 25818 26416 29718 34424 38727 39624 42037 47664 51636 59436 68848 77454 79248 84074 103272 118872 126111 154908 168148 206544 237744 252222 309816 336296 378333 504444 546481 619632 672592 756666 1008888 1092962 1513332 1639443 2017776 2185924 3026664 3278886 4371848 4918329 6053328 6557772 8743696 9836658 13115544 19673316 26231088 39346632 78693264