Search a number
-
+
88078056 = 233113771127
BaseRepresentation
bin1010011111111…
…11011011101000
320010201211101020
411033333123220
5140021444211
612423452440
72116436223
oct517773350
9203654336
1088078056
1145799390
12255b7120
131532b1c1
14b9aa5ba
157aec306
hex53ff6e8

88078056 has 128 divisors (see below), whose sum is σ = 252149760. Its totient is φ = 25401600.

The previous prime is 88078033. The next prime is 88078057. The reversal of 88078056 is 65087088.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 88077999 and 88078017.

It is not an unprimeable number, because it can be changed into a prime (88078057) 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, 693465 + ... + 693591.

It is an arithmetic number, because the mean of its divisors is an integer number (1969920).

Almost surely, 288078056 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 88078056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126074880).

88078056 is an abundant number, since it is smaller than the sum of its proper divisors (164071704).

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

88078056 is a wasteful number, since it uses less digits than its factorization.

88078056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 88078056 is about 9384.9909962663. The cubic root of 88078056 is about 444.9274906055.

The spelling of 88078056 in words is "eighty-eight million, seventy-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 71 74 88 111 127 132 142 148 213 222 254 264 284 296 381 407 426 444 508 568 762 781 814 852 888 1016 1221 1397 1524 1562 1628 1704 2343 2442 2627 2794 3048 3124 3256 4191 4686 4699 4884 5254 5588 6248 7881 8382 9017 9372 9398 9768 10508 11176 14097 15762 16764 18034 18744 18796 21016 27051 28194 28897 31524 33528 36068 37592 51689 54102 56388 57794 63048 72136 86691 99187 103378 108204 112776 115588 155067 173382 198374 206756 216408 231176 297561 310134 333629 346764 396748 413512 595122 620268 667258 693528 793496 1000887 1190244 1240536 1334516 2001774 2380488 2669032 3669919 4003548 7339838 8007096 11009757 14679676 22019514 29359352 44039028 88078056