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47490432 = 2731111243
BaseRepresentation
bin1011010100101…
…0010110000000
310022100202121220
42311022112000
544124143212
64413515040
71114443033
oct265122600
9108322556
1047490432
11248972a0
1213aa2a80
139aba062
14644301a
15428138c
hex2d4a580

47490432 has 64 divisors (see below), whose sum is σ = 137626560. Its totient is φ = 14389760.

The previous prime is 47490413. The next prime is 47490449. The reversal of 47490432 is 23409474.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×474904322 = 4510682263093248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 47490393 and 47490402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1398 + ... + 9845.

It is an arithmetic number, because the mean of its divisors is an integer number (2150415).

Almost surely, 247490432 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 47490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68813280).

47490432 is an abundant number, since it is smaller than the sum of its proper divisors (90136128).

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

47490432 is a wasteful number, since it uses less digits than its factorization.

47490432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11271 (or 11259 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 47490432 is about 6891.3302054103. The cubic root of 47490432 is about 362.1335038652.

The spelling of 47490432 in words is "forty-seven million, four hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 11243 22486 33729 44972 67458 89944 123673 134916 179888 247346 269832 359776 371019 494692 539664 719552 742038 989384 1079328 1439104 1484076 1978768 2158656 2968152 3957536 4317312 5936304 7915072 11872608 15830144 23745216 47490432