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70386432 = 283372477
BaseRepresentation
bin1000011001000…
…00001100000000
311220110000000220
410030200030000
5121004331212
610552343040
71513163154
oct414401400
9156400026
1070386432
1136805406
121b6a4a80
131177569c
1494c3064
1562a538c
hex4320300

70386432 has 72 divisors (see below), whose sum is σ = 192471216. Its totient is φ = 22818816.

The previous prime is 70386413. The next prime is 70386467. The reversal of 70386432 is 23468307.

It is a junction number, because it is equal to n+sod(n) for n = 70386393 and 70386402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27178 + ... + 29654.

Almost surely, 270386432 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 70386432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96235608).

70386432 is an abundant number, since it is smaller than the sum of its proper divisors (122084784).

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

70386432 is a wasteful number, since it uses less digits than its factorization.

70386432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 70386432 is about 8389.6622101250. The cubic root of 70386432 is about 412.8855180074.

The spelling of 70386432 in words is "seventy million, three hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 2477 3552 4736 4954 7104 7431 9472 9908 14208 14862 19816 28416 29724 39632 59448 79264 91649 118896 158528 183298 237792 274947 317056 366596 475584 549894 634112 733192 951168 1099788 1466384 1902336 2199576 2932768 4399152 5865536 8798304 11731072 17596608 23462144 35193216 70386432