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4701972 = 22311179199
BaseRepresentation
bin10001111011111100010100
322211212220010
4101323330110
52200430342
6244440220
754652242
oct21737424
98755803
104701972
112721730
1216a9070
13c88242
148a5792
1562d29c
hex47bf14

4701972 has 48 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 1409760.

The previous prime is 4701971. The next prime is 4702037. The reversal of 4701972 is 2791074.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4701971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23529 + ... + 23727.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 24701972 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 4701972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

4701972 is an abundant number, since it is smaller than the sum of its proper divisors (7394028).

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

4701972 is a wasteful number, since it uses less digits than its factorization.

4701972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 4701972 is about 2168.4030990570. The cubic root of 4701972 is about 167.5302922862.

It can be divided in two parts, 470 and 1972, that added together give a palindrome (2442).

The spelling of 4701972 in words is "four million, seven hundred one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 179 199 358 398 537 597 716 796 1074 1194 1969 2148 2189 2388 3938 4378 5907 6567 7876 8756 11814 13134 23628 26268 35621 71242 106863 142484 213726 391831 427452 783662 1175493 1567324 2350986 4701972