[go: up one dir, main page]

Search a number
-
+
70947648 = 2632373329
BaseRepresentation
bin1000011101010…
…01001101000000
311221111111212200
410032221031000
5121130311043
611012353200
71521021312
oct416511500
9157444780
1070947648
1137059022
121b915800
1311910c75
1495cb7b2
1563667d3
hex43a9340

70947648 has 84 divisors (see below), whose sum is σ = 208917540. Its totient is φ = 23003136.

The previous prime is 70947641. The next prime is 70947649. The reversal of 70947648 is 84674907.

It can be written as a sum of positive squares in 2 ways, for example, as 47444544 + 23503104 = 6888^2 + 4848^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70947641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19648 + ... + 22976.

Almost surely, 270947648 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 70947648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104458770).

70947648 is an abundant number, since it is smaller than the sum of its proper divisors (137969892).

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

70947648 is a wasteful number, since it uses less digits than its factorization.

70947648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3371 counting only the distinct ones).

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

The square root of 70947648 is about 8423.0426806469. The cubic root of 70947648 is about 413.9799752269.

The spelling of 70947648 in words is "seventy million, nine hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 3329 3552 5328 6658 7104 9987 10656 13316 19974 21312 26632 29961 39948 53264 59922 79896 106528 119844 123173 159792 213056 239688 246346 319584 369519 479376 492692 639168 739038 958752 985384 1108557 1478076 1917504 1970768 2217114 2956152 3941536 4434228 5912304 7883072 8868456 11824608 17736912 23649216 35473824 70947648