Search a number
-
+
39630976 = 277114021
BaseRepresentation
bin1001011100101…
…1100010000000
32202120110110221
42113023202000
540121142401
63533232424
7660600130
oct227134200
982513427
1039630976
1120409380
1211332714
1382978a8
145398ac0
15372c7a1
hex25cb880

39630976 has 64 divisors (see below), whose sum is σ = 98458560. Its totient is φ = 15436800.

The previous prime is 39630971. The next prime is 39630991. The reversal of 39630976 is 67903693.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×396309762 = 3141228517425152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (39630971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7846 + ... + 11866.

It is an arithmetic number, because the mean of its divisors is an integer number (1538415).

Almost surely, 239630976 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 39630976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49229280).

39630976 is an abundant number, since it is smaller than the sum of its proper divisors (58827584).

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

39630976 is a wasteful number, since it uses less digits than its factorization.

39630976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 43.

The square root of 39630976 is about 6295.3138126705. The cubic root of 39630976 is about 340.9402348512.

The spelling of 39630976 in words is "thirty-nine million, six hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4021 4928 8042 9856 16084 28147 32168 44231 56294 64336 88462 112588 128672 176924 225176 257344 309617 353848 450352 514688 619234 707696 900704 1238468 1415392 1801408 2476936 2830784 3602816 4953872 5661568 9907744 19815488 39630976