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16977948 = 22313432531
BaseRepresentation
bin100000011000…
…1000000011100
31011221120100220
41000301000130
513321243243
61403521340
7264211251
oct100610034
934846326
1016977948
119646869
125829250
133695a30
14237d428
151755783
hex103101c

16977948 has 48 divisors (see below), whose sum is σ = 43671936. Its totient is φ = 5100480.

The previous prime is 16977937. The next prime is 16977953. The reversal of 16977948 is 84977961.

Its product of digits (762048) is a multiple of the sum of its prime divisors (2592).

It is a self number, because there is not a number n which added to its sum of digits gives 16977948.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5443 + ... + 7973.

It is an arithmetic number, because the mean of its divisors is an integer number (909832).

Almost surely, 216977948 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 16977948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21835968).

16977948 is an abundant number, since it is smaller than the sum of its proper divisors (26693988).

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

16977948 is a wasteful number, since it uses less digits than its factorization.

16977948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2592 counting only the distinct ones).

The product of its digits is 762048, while the sum is 51.

The square root of 16977948 is about 4120.4305600265. The cubic root of 16977948 is about 257.0169307584.

The spelling of 16977948 in words is "sixteen million, nine hundred seventy-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1118 1677 2236 2531 3354 5062 6708 7593 10124 15186 30372 32903 65806 98709 108833 131612 197418 217666 326499 394836 435332 652998 1305996 1414829 2829658 4244487 5659316 8488974 16977948