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5474045952 = 21232163911
BaseRepresentation
bin1010001100100011…
…10101000000000000
3112010111101100100200
411012101311000000
542202323432302
62303103445200
7252436423434
oct50621650000
915114340320
105474045952
112359a57821
1210892b6800
1369312745b
1439d01c9c4
1522089481c
hex146475000

5474045952 has 156 divisors (see below), whose sum is σ = 15926449344. Its totient is φ = 1811496960.

The previous prime is 5474045933. The next prime is 5474045953. The reversal of 5474045952 is 2595404745.

5474045952 is a `hidden beast` number, since 54 + 7 + 4 + 0 + 4 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5474045898 and 5474045907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5474045953) 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, 6008377 + ... + 6009287.

It is an arithmetic number, because the mean of its divisors is an integer number (102092624).

Almost surely, 25474045952 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 5474045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7963224672).

5474045952 is an abundant number, since it is smaller than the sum of its proper divisors (10452403392).

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

5474045952 is a wasteful number, since it uses less digits than its factorization.

5474045952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 5474045952 is about 73986.7957949255. The cubic root of 5474045952 is about 1762.3932180969.

The spelling of 5474045952 in words is "five billion, four hundred seventy-four million, forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 163 192 256 288 326 384 489 512 576 652 768 911 978 1024 1152 1304 1467 1536 1822 1956 2048 2304 2608 2733 2934 3072 3644 3912 4096 4608 5216 5466 5868 6144 7288 7824 8199 9216 10432 10932 11736 12288 14576 15648 16398 18432 20864 21864 23472 29152 31296 32796 36864 41728 43728 46944 58304 62592 65592 83456 87456 93888 116608 125184 131184 148493 166912 174912 187776 233216 250368 262368 296986 333824 349824 375552 445479 466432 500736 524736 593972 667648 699648 751104 890958 932864 1001472 1049472 1187944 1336437 1399296 1502208 1781916 1865728 2002944 2098944 2375888 2672874 2798592 3004416 3563832 3731456 4197888 4751776 5345748 5597184 6008832 7127664 8395776 9503552 10691496 11194368 14255328 16791552 19007104 21382992 28510656 33583104 38014208 42765984 57021312 76028416 85531968 114042624 152056832 171063936 228085248 304113664 342127872 456170496 608227328 684255744 912340992 1368511488 1824681984 2737022976 5474045952