Search a number
-
+
77898496 = 281389263
BaseRepresentation
bin1001010010010…
…10001100000000
312102120122122111
410221022030000
5124420222441
611421345104
71634061214
oct451121400
9172518574
1077898496
113aa76325
1222108194
13131a59b0
14a4ba944
156c8b081
hex4a4a300

77898496 has 72 divisors (see below), whose sum is σ = 169979040. Its totient is φ = 35414016.

The previous prime is 77898481. The next prime is 77898497. The reversal of 77898496 is 69489877.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 77898496.

It is not an unprimeable number, because it can be changed into a prime (77898497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296061 + ... + 296323.

It is an arithmetic number, because the mean of its divisors is an integer number (2360820).

Almost surely, 277898496 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 77898496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84989520).

77898496 is an abundant number, since it is smaller than the sum of its proper divisors (92080544).

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

77898496 is a wasteful number, since it uses less digits than its factorization.

77898496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 58.

The square root of 77898496 is about 8826.0124631682. The cubic root of 77898496 is about 427.0804492771.

The spelling of 77898496 in words is "seventy-seven million, eight hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 178 208 256 263 356 416 526 712 832 1052 1157 1424 1664 2104 2314 2848 3328 3419 4208 4628 5696 6838 8416 9256 11392 13676 16832 18512 22784 23407 27352 33664 37024 46814 54704 67328 74048 93628 109408 148096 187256 218816 296192 304291 374512 437632 608582 749024 875264 1217164 1498048 2434328 2996096 4868656 5992192 9737312 19474624 38949248 77898496