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979299972 = 223279740063
BaseRepresentation
bin111010010111101…
…110111010000100
32112020201121000100
4322113232322010
54001200044342
6241101444100
733160624650
oct7227567204
92466647010
10979299972
11462875622
12233b70630
13127b70251
14940bda60
155ae92e4c
hex3a5eee84

979299972 has 72 divisors (see below), whose sum is σ = 2858326016. Its totient is φ = 276908544.

The previous prime is 979299953. The next prime is 979299973. The reversal of 979299972 is 279992979.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (979299973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4413 + ... + 44475.

Almost surely, 2979299972 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 979299972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429163008).

979299972 is an abundant number, since it is smaller than the sum of its proper divisors (1879026044).

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

979299972 is a wasteful number, since it uses less digits than its factorization.

979299972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40177 (or 40172 counting only the distinct ones).

The product of its digits is 11573604, while the sum is 63.

The square root of 979299972 is about 31293.7689005335. The cubic root of 979299972 is about 993.0518253483.

The spelling of 979299972 in words is "nine hundred seventy-nine million, two hundred ninety-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 97 126 194 252 291 388 582 679 873 1164 1358 1746 2037 2716 3492 4074 6111 8148 12222 24444 40063 80126 120189 160252 240378 280441 360567 480756 560882 721134 841323 1121764 1442268 1682646 2523969 3365292 3886111 5047938 7772222 10095876 11658333 15544444 23316666 27202777 34974999 46633332 54405554 69949998 81608331 108811108 139899996 163216662 244824993 326433324 489649986 979299972