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47061378 = 23371361157
BaseRepresentation
bin1011001110000…
…1100110000010
310021112222002000
42303201212002
544021431003
64400404430
71111005120
oct263414602
9107488060
1047061378
1124623a01
1213916716
139999990
146370910
1541e91a3
hex2ce1982

47061378 has 128 divisors (see below), whose sum is σ = 131658240. Its totient is φ = 12130560.

The previous prime is 47061361. The next prime is 47061401. The reversal of 47061378 is 87316074.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299676 + ... + 299832.

It is an arithmetic number, because the mean of its divisors is an integer number (1028580).

Almost surely, 247061378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47061378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65829120).

47061378 is an abundant number, since it is smaller than the sum of its proper divisors (84596862).

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

47061378 is a wasteful number, since it uses less digits than its factorization.

47061378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 47061378 is about 6860.1295906127. The cubic root of 47061378 is about 361.0396336705.

It can be divided in two parts, 4706 and 1378, that added together give a square (6084 = 782).

The spelling of 47061378 in words is "forty-seven million, sixty-one thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 61 63 78 91 117 122 126 157 182 183 189 234 273 314 351 366 378 427 471 546 549 702 793 819 854 942 1098 1099 1281 1413 1586 1638 1647 2041 2198 2379 2457 2562 2826 3294 3297 3843 4082 4239 4758 4914 5551 6123 6594 7137 7686 8478 9577 9891 11102 11529 12246 14274 14287 16653 18369 19154 19782 21411 23058 28574 28731 29673 33306 36738 42822 42861 49959 55107 57462 59346 67039 85722 86193 99918 110214 124501 128583 134078 149877 172386 201117 249002 257166 258579 299754 373503 385749 402234 517158 603351 747006 771498 871507 1120509 1206702 1743014 1810053 2241018 2614521 3361527 3620106 5229042 6723054 7843563 15687126 23530689 47061378