Search a number
-
+
70499616 = 25311101661
BaseRepresentation
bin1000011001110…
…11110100100000
311220122202021220
410030323310200
5121021441431
610555015040
71514144145
oct414736440
9156582256
1070499616
1136882450
121b73a480
13117b5065
1495123cc
1562c8b96
hex433bd20

70499616 has 96 divisors (see below), whose sum is σ = 204192576. Its totient is φ = 21120000.

The previous prime is 70499579. The next prime is 70499641. The reversal of 70499616 is 61699407.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×704996162 = 9940391712294912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106326 + ... + 106986.

It is an arithmetic number, because the mean of its divisors is an integer number (2127006).

Almost surely, 270499616 is an apocalyptic number.

70499616 is the 4848-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70499616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102096288).

70499616 is an abundant number, since it is smaller than the sum of its proper divisors (133692960).

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

70499616 is a wasteful number, since it uses less digits than its factorization.

70499616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 70499616 is about 8396.4049449750. The cubic root of 70499616 is about 413.1067112428.

The spelling of 70499616 in words is "seventy million, four hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 101 132 176 202 264 303 352 404 528 606 661 808 1056 1111 1212 1322 1616 1983 2222 2424 2644 3232 3333 3966 4444 4848 5288 6666 7271 7932 8888 9696 10576 13332 14542 15864 17776 21152 21813 26664 29084 31728 35552 43626 53328 58168 63456 66761 87252 106656 116336 133522 174504 200283 232672 267044 349008 400566 534088 698016 734371 801132 1068176 1468742 1602264 2136352 2203113 2937484 3204528 4406226 5874968 6409056 8812452 11749936 17624904 23499872 35249808 70499616