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4948416 = 263211271
BaseRepresentation
bin10010111000000111000000
3100022101221200
4102320013000
52231322131
6254021200
760026604
oct22700700
910271850
104948416
11287a900
1217a7800
131043475
1492b504
1567b2e6
hex4b81c0

4948416 has 126 divisors (see below), whose sum is σ = 15809976. Its totient is φ = 1478400.

The previous prime is 4948409. The next prime is 4948423. The reversal of 4948416 is 6148494.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4948409) and next prime (4948423).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69661 + ... + 69731.

It is an arithmetic number, because the mean of its divisors is an integer number (125476).

Almost surely, 24948416 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 4948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7904988).

4948416 is an abundant number, since it is smaller than the sum of its proper divisors (10861560).

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

4948416 is a wasteful number, since it uses less digits than its factorization.

4948416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 87 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4948416 is about 2224.5035401186. The cubic root of 4948416 is about 170.4075114060.

The spelling of 4948416 in words is "four million, nine hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 71 72 88 96 99 121 132 142 144 176 192 198 213 242 264 284 288 352 363 396 426 484 528 568 576 639 704 726 781 792 852 968 1056 1089 1136 1278 1452 1562 1584 1704 1936 2112 2178 2272 2343 2556 2904 3124 3168 3408 3872 4356 4544 4686 5112 5808 6248 6336 6816 7029 7744 8591 8712 9372 10224 11616 12496 13632 14058 17182 17424 18744 20448 23232 24992 25773 28116 34364 34848 37488 40896 49984 51546 56232 68728 69696 74976 77319 103092 112464 137456 149952 154638 206184 224928 274912 309276 412368 449856 549824 618552 824736 1237104 1649472 2474208 4948416