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37944972 = 22321389911
BaseRepresentation
bin1001000010111…
…1111010001100
32122101210201100
42100233322030
534203214342
63433143100
7640345512
oct220577214
978353640
1037944972
111a46768a
121085aa90
137b27360
14507a4b2
1534e7e4c
hex242fe8c

37944972 has 72 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 11531520.

The previous prime is 37944953. The next prime is 37945007. The reversal of 37944972 is 27944973.

37944972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 41197 + ... + 42107.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 237944972 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 37944972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284960).

37944972 is an abundant number, since it is smaller than the sum of its proper divisors (66624948).

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

37944972 is a wasteful number, since it uses less digits than its factorization.

37944972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1018 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 37944972 is about 6159.9490257631. The cubic root of 37944972 is about 336.0351791398.

Subtracting from 37944972 its reverse (27944973), we obtain a palindrome (9999999).

The spelling of 37944972 in words is "thirty-seven million, nine hundred forty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 89 117 156 178 234 267 356 468 534 801 911 1068 1157 1602 1822 2314 2733 3204 3471 3644 4628 5466 6942 8199 10413 10932 11843 13884 16398 20826 23686 32796 35529 41652 47372 71058 81079 106587 142116 162158 213174 243237 324316 426348 486474 729711 972948 1054027 1459422 2108054 2918844 3162081 4216108 6324162 9486243 12648324 18972486 37944972