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48217960 = 2357273337
BaseRepresentation
bin1011011111101…
…1111101101000
310100201201121101
42313323331220
544320433320
64441251144
71123563100
oct267737550
9110651541
1048217960
112524395a
1214193ab4
139cb324b
146592200
154376c0a
hex2dfbf68

48217960 has 96 divisors (see below), whose sum is σ = 128311560. Its totient is φ = 16257024.

The previous prime is 48217951. The next prime is 48217979. The reversal of 48217960 is 6971284.

It can be written as a sum of positive squares in 4 ways, for example, as 35070084 + 13147876 = 5922^2 + 3626^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142912 + ... + 143248.

Almost surely, 248217960 is an apocalyptic number.

48217960 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 48217960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64155780).

48217960 is an abundant number, since it is smaller than the sum of its proper divisors (80093600).

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

48217960 is a wasteful number, since it uses less digits than its factorization.

48217960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 48217960 is about 6943.9153220643. The cubic root of 48217960 is about 363.9733708330.

The spelling of 48217960 in words is "forty-eight million, two hundred seventeen thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 73 98 140 146 196 245 280 292 337 365 392 490 511 584 674 730 980 1022 1348 1460 1685 1960 2044 2359 2555 2696 2920 3370 3577 4088 4718 5110 6740 7154 9436 10220 11795 13480 14308 16513 17885 18872 20440 23590 24601 28616 33026 35770 47180 49202 66052 71540 82565 94360 98404 123005 132104 143080 165130 172207 196808 246010 330260 344414 492020 660520 688828 861035 984040 1205449 1377656 1722070 2410898 3444140 4821796 6027245 6888280 9643592 12054490 24108980 48217960