Search a number
-
+
70419008 = 2611234349
BaseRepresentation
bin1000011001010…
…00001001000000
311220111122201102
410030220021000
5121011402013
610553153532
71513360142
oct414501100
9156448642
1070419008
1136827930
121b6bb8a8
131178746a
1494d0c92
1562aed58
hex4328240

70419008 has 56 divisors (see below), whose sum is σ = 159105600. Its totient is φ = 30609920.

The previous prime is 70418983. The next prime is 70419023. The reversal of 70419008 is 80091407.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14018 + ... + 18366.

Almost surely, 270419008 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 70419008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79552800).

70419008 is an abundant number, since it is smaller than the sum of its proper divisors (88686592).

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

70419008 is a wasteful number, since it uses less digits than its factorization.

70419008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 70419008 is about 8391.6034224694. The cubic root of 70419008 is about 412.9492049226.

The spelling of 70419008 in words is "seventy million, four hundred nineteen thousand, eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 704 736 1012 1472 2024 4048 4349 8096 8698 16192 17396 34792 47839 69584 95678 100027 139168 191356 200054 278336 382712 400108 765424 800216 1100297 1530848 1600432 2200594 3061696 3200864 4401188 6401728 8802376 17604752 35209504 70419008