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48972235600 = 2452434216763
BaseRepresentation
bin101101100110111110…
…010000001101010000
311200101221220022220201
4231212332100031100
51300243343014400
634255244544544
73352402064041
oct554676201520
9150357808821
1048972235600
1119850606492
1295a8852154
134805b61302
1425280368c8
15141952c06a
hexb66f90350

48972235600 has 120 divisors (see below), whose sum is σ = 120695787872. Its totient is φ = 19085068800.

The previous prime is 48972235567. The next prime is 48972235619. The reversal of 48972235600 is 653227984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7237819 + ... + 7244581.

Almost surely, 248972235600 is an apocalyptic number.

48972235600 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 48972235600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60347893936).

48972235600 is an abundant number, since it is smaller than the sum of its proper divisors (71723552272).

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

48972235600 is a wasteful number, since it uses less digits than its factorization.

48972235600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245 (or 7234 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 48972235600 in words is "forty-eight billion, nine hundred seventy-two million, two hundred thirty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 344 400 421 430 688 842 860 1075 1684 1720 2105 2150 3368 3440 4210 4300 6736 6763 8420 8600 10525 13526 16840 17200 18103 21050 27052 33680 33815 36206 42100 54104 67630 72412 84200 90515 108208 135260 144824 168400 169075 181030 270520 289648 290809 338150 362060 452575 541040 581618 676300 724120 905150 1163236 1352600 1448240 1454045 1810300 2326472 2705200 2847223 2908090 3620600 4652944 5694446 5816180 7241200 7270225 11388892 11632360 14236115 14540450 22777784 23264720 28472230 29080900 45555568 56944460 58161800 71180575 113888920 116323600 122430589 142361150 227777840 244861178 284722300 489722356 569444600 612152945 979444712 1138889200 1224305890 1958889424 2448611780 3060764725 4897223560 6121529450 9794447120 12243058900 24486117800 48972235600