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4972440 = 2335113767
BaseRepresentation
bin10010111101111110011000
3100100121220110
4102331332120
52233104230
6254324320
760156624
oct22757630
910317813
104972440
112896960
1217b96a0
131051395
14936184
156834b0
hex4bdf98

4972440 has 64 divisors (see below), whose sum is σ = 16277760. Its totient is φ = 1205120.

The previous prime is 4972423. The next prime is 4972469. The reversal of 4972440 is 442794.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4972398 and 4972407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564 + ... + 3203.

It is an arithmetic number, because the mean of its divisors is an integer number (254340).

Almost surely, 24972440 is an apocalyptic number.

4972440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4972440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138880).

4972440 is an abundant number, since it is smaller than the sum of its proper divisors (11305320).

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

4972440 is a wasteful number, since it uses less digits than its factorization.

4972440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4972440 is about 2229.8968586013. The cubic root of 4972440 is about 170.6828360603.

The spelling of 4972440 in words is "four million, nine hundred seventy-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3767 7534 11301 15068 18835 22602 30136 37670 41437 45204 56505 75340 82874 90408 113010 124311 150680 165748 207185 226020 248622 331496 414370 452040 497244 621555 828740 994488 1243110 1657480 2486220 4972440