Search a number
-
+
76926976 = 21272683
BaseRepresentation
bin1001001010111…
…01000000000000
312100202021222021
410211131000000
5124143130401
611344451224
71622603620
oct445350000
9170667867
1076926976
113a472415
1221919b14
1312c25729
14a306880
156b482a1
hex495d000

76926976 has 52 divisors (see below), whose sum is σ = 175877152. Its totient is φ = 32956416.

The previous prime is 76926923. The next prime is 76926977. The reversal of 76926976 is 67962967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76926977) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27331 + ... + 30013.

Almost surely, 276926976 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 76926976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87938576).

76926976 is an abundant number, since it is smaller than the sum of its proper divisors (98950176).

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

76926976 is an equidigital number, since it uses as much as digits as its factorization.

76926976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2714 (or 2692 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 52.

The square root of 76926976 is about 8770.8024718380. The cubic root of 76926976 is about 425.2975558677.

The spelling of 76926976 in words is "seventy-six million, nine hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 2683 3584 4096 5366 7168 10732 14336 18781 21464 28672 37562 42928 75124 85856 150248 171712 300496 343424 600992 686848 1201984 1373696 2403968 2747392 4807936 5494784 9615872 10989568 19231744 38463488 76926976