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48682730400 = 2535220284471
BaseRepresentation
bin101101010101101101…
…111000001110100000
311122122210010221102220
4231111231320032200
51244200234333100
634210423511040
73342255244413
oct552555701640
9148583127386
1048682730400
111971214a997
1295278b8480
13478ab99365
1424db7d5b7a
1513edde2aa0
hexb55b783a0

48682730400 has 72 divisors (see below), whose sum is σ = 158462295264. Its totient is φ = 12982060800.

The previous prime is 48682730387. The next prime is 48682730401. The reversal of 48682730400 is 403728684.

48682730400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48682730401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10139836 + ... + 10144635.

It is an arithmetic number, because the mean of its divisors is an integer number (2200865212).

Almost surely, 248682730400 is an apocalyptic number.

48682730400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48682730400 is an abundant number, since it is smaller than the sum of its proper divisors (109779564864).

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

48682730400 is a wasteful number, since it uses less digits than its factorization.

48682730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20284494 (or 20284481 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 48682730400 in words is "forty-eight billion, six hundred eighty-two million, seven hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 20284471 40568942 60853413 81137884 101422355 121706826 162275768 202844710 243413652 304267065 324551536 405689420 486827304 507111775 608534130 649103072 811378840 973654608 1014223550 1217068260 1521335325 1622757680 1947309216 2028447100 2434136520 3042670650 3245515360 4056894200 4868273040 6085341300 8113788400 9736546080 12170682600 16227576800 24341365200 48682730400