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972212672 = 26194717011
BaseRepresentation
bin111001111100101…
…100100111000000
32111202101112001202
4321330230213000
53442341301142
6240245520332
733043446164
oct7174544700
92452345052
10972212672
11459874852
122317130a8
1312655b392
1493196ca4
155a543032
hex39f2c9c0

972212672 has 56 divisors (see below), whose sum is σ = 2074103040. Its totient is φ = 450696960.

The previous prime is 972212651. The next prime is 972212687. The reversal of 972212672 is 276212279.

972212672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

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, 48647 + ... + 65657.

Almost surely, 2972212672 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 972212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037051520).

972212672 is an abundant number, since it is smaller than the sum of its proper divisors (1101890368).

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

972212672 is a wasteful number, since it uses less digits than its factorization.

972212672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17089 (or 17079 counting only the distinct ones).

The product of its digits is 42336, while the sum is 38.

The square root of 972212672 is about 31180.3250784850. The cubic root of 972212672 is about 990.6504150246.

The spelling of 972212672 in words is "nine hundred seventy-two million, two hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 152 188 304 376 608 752 893 1216 1504 1786 3008 3572 7144 14288 17011 28576 34022 57152 68044 136088 272176 323209 544352 646418 799517 1088704 1292836 1599034 2585672 3198068 5171344 6396136 10342688 12792272 15190823 20685376 25584544 30381646 51169088 60763292 121526584 243053168 486106336 972212672