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4748507680 = 255721374421
BaseRepresentation
bin1000110110000100…
…00111101000100000
3110020221011011221211
410123002013220200
534211104221210
62103104555504
7225446435500
oct43302075040
913227134854
104748507680
112017455114
12b06322b94
135a8a15b77
14330917a00
151cbd2a38a
hex11b087a20

4748507680 has 144 divisors (see below), whose sum is σ = 13148144856. Its totient is φ = 1615810560.

The previous prime is 4748507653. The next prime is 4748507681. The reversal of 4748507680 is 867058474.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4482034704 + 266472976 = 66948^2 + 16324^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (4748507681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1071870 + ... + 1076290.

Almost surely, 24748507680 is an apocalyptic number.

4748507680 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 4748507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6574072428).

4748507680 is an abundant number, since it is smaller than the sum of its proper divisors (8399637176).

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

4748507680 is a wasteful number, since it uses less digits than its factorization.

4748507680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4587 (or 4572 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 49.

The square root of 4748507680 is about 68909.4164828001. The cubic root of 4748507680 is about 1680.8116448505.

The spelling of 4748507680 in words is "four billion, seven hundred forty-eight million, five hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 137 140 160 196 224 245 274 280 392 490 548 560 685 784 959 980 1096 1120 1370 1568 1918 1960 2192 2740 3836 3920 4384 4421 4795 5480 6713 7672 7840 8842 9590 10960 13426 15344 17684 19180 21920 22105 26852 30688 30947 33565 35368 38360 44210 53704 61894 67130 70736 76720 88420 107408 123788 134260 141472 153440 154735 176840 214816 216629 247576 268520 309470 353680 433258 495152 537040 605677 618940 707360 866516 990304 1074080 1083145 1211354 1237880 1733032 2166290 2422708 2475760 3028385 3466064 4239739 4332580 4845416 4951520 6056770 6932128 8479478 8665160 9690832 12113540 16958956 17330320 19381664 21198695 24227080 29678173 33917912 34660640 42397390 48454160 59356346 67835824 84794780 96908320 118712692 135671648 148390865 169589560 237425384 296781730 339179120 474850768 593563460 678358240 949701536 1187126920 2374253840 4748507680